|
| Our subscribers' grade-level estimate for this page: 3rd - 4th |
| More Math Activities |
EnchantedLearning.com Fractions |
NUMERATOR DENOMINATOR |
| Overview of Fractions "…Bliss and envy are the numerator and denominator of the fraction called happiness." ~Yevgeny Zamyatin |
A fraction can be expressed in the form a/b, where the top number, a, is called the numerator; the bottom number, b, is called the denominator. The denominator of a fraction cannot be equal to zero (this is because you cannot divide a number by zero).
The value of a fraction is not changed if both the numerator and denominator are multiplied or divided by the same non-zero number.
Equivalent Fractions: Equivalent fractions are different fractions that are equal to the same number (like 2/4 and 3/6) and can be simplified and written as the same fraction (1/2 in this example). |
Expressing Fractions in Simplest Form: A fraction is in its simplest form (this is also called being expressed in lowest terms) if the Greatest Common Factor (GCF), also called the Greatest Common Denominator (GCD), of the numerator and denominator is 1. To reduce a fraction to lowest terms (also called its simplest form), divide both the numerator and denominator by the GCD. For example, 2/3 is in lowest form, but 4/6 is not in lowest form (the GCD of 4 and 6 is 2) and 4/6 can be expressed as 2/3. |
Improper Fractions: An improper fraction is one whose numerator is larger than the denominator (like 5/4). Improper fractions can be written as a mixed number, a number plus a fraction (for example, 5/4 = 1 1/4). |
Fractions Written as Decimals: Every fraction can be expressed as decimal (a number with a decimal point). One way to convert a fraction to a decimal is to divide the numerator by the denominator. For example, 1/2 is equal to 1 divided by 2, which is equal to 0.5. |
Fractions to Percents:  A fraction can be expressed as a percentage by converting the fraction to a decimal number, then multiplying by 100 to obtain a percentage (since percent means per 100). For example, 1/2 = 0.5 = 50%. |
Adding Fractions: To add two or more fractions, first make all the fractions have the same denominator. Once the denominators are the same, just add the numerators. Then simplify the answer (put the fraction in lowest terms). |
Multiplying Fractions: To multiply two or more fractions, multiply the numerators and multiply the denominators. Then simplify the answer (put the fraction in lowest terms). |
Comparing Fractions: To compare two fractions (that is, to find out which one is bigger or smaller), first write the fractions so that they have the same denominator. Then, compare the numerators; the fraction with the largest positive numerator is the larger fraction. |
Fraction Worksheets:
Introduction to Fractions - Worksheets and Games to Print
 One Half: A Fraction Worksheet Learn about the fraction one half and do simple problems on 1/2. Or go to the answers. |
 One Third: A Fraction Worksheet Learn about the fraction one third and do simple problems on 1/3. Or go to the answers. |
 One Quarter: A Fraction Worksheet Learn about the fraction one quarter and do simple problems on 1/4. Or go to the answers. |
 One Fifth: A Fraction Worksheet Learn about the fraction one fifth and do simple problems on 1/5. Or go to the answers. |
 Printable Set of Fraction Dominoes Print a set of fractions dominoes; each tile has fractions on it (1/2, 1/3, 1/4, 1/5, 1/6, 2/3, and 3/4) in words, in reduced form, as equivalent fractions, and in pictures. In this game the student matches fractions in different forms. |
 Color Fractions of Groups of Animals Worksheet Color halves, thirds, quarters and fifths of the groups of fish, turtles, frogs, and lizards. |
 Color Fractions of Groups of Shapes Worksheet Color halves, thirds, quarters and fifths of groups of squares, triangles, circles, and ovals. |
 Color Fractions of Groups of Shapes Worksheet #2 Color halves, thirds, quarters and fifths of groups of squares, triangles, circles, and ovals. |
 Color Fractions of Groups of Fruit - Worksheet on Sixths Color 1/6, 2/6=1/3, 3/6=1/2, 4/6=2/3, and 5/6 of groups of strawberries, apples, bananas, berries, and oranges. |
 Color Fractions of Groups of Fruit - Worksheet on Eighths Color 1/8, 2/8=1/4, 3/8, 4/8=1/2, 5/8, 6/8=3/4, 5/8 of groups of limes, apples, pears, berries, oranges, and cherries. |
 Color Fractions Worksheet Color the Divided Shapes: Red - shapes that have 2 equal parts. Blue - shapes that have 3 equal parts. Green - shapes that have 4 equal parts. Yellow - shapes that have 5 equal parts. |
 Color Fractions Worksheet Color 1/2, 1/3, 1/4, or 1/5 of the pictures. |
 Food Fractions #1: Follow the Instructions Draw and color fractions (one half) of groups of fruit according to simple directions, such as, "Color one half of the apples red." Or go to the answers. |
 Food Fractions #2: Follow the Instructions Draw and color fractions according to simple directions, such as, "Color one third of the candies purple." Or go to the answers. |
 Match Fractions Worksheet Draw a line from each fraction to the picture that has that portion of the picture shaded. Or go to the answers. |
 Match Fractions Worksheet #2 Draw a line from each fraction to the picture that has that portion of the picture shaded. Or go to the answers. |
 Match Fractions Worksheet #3 Draw a line from each fraction (written in fraction form and in English) to the picture that has that portion of the picture shaded. Or go to the answers. |
 Fractions of Robots Printout Find the fractions of the robots that are made of different shapes. Or go to the answers. |
 Fractions of Groundhogs Printout Find the fractions of the groundhogs with and with a shadow, in and out of a burrow, looking to the right or left, facing their shadow, etc. Or go to the answers. |
 Fractions of Balloons Printout Find the fractions of the balloons that have different patterns. Or go to the answers. |
 Fractions of Cookies Printout Find the fractions of the cookies that have different shapes and chocolate chips or not. Or go to the answers. |
 Fractions of Ice Cream Cones Printout Find the fractions of the ice cream cones that have different numbers of scoops, all vanilla ice cream, or a cherry on top. Or go to the answers. |
 Equivalent Fractions Worksheet Circle every picture that has a shaded part equivalent to the given fraction, for 1/2, 1/3, 2/3, 1/4, and 3/4. Or go to the answers. |
 Fractions Label Me! Printout Label the fractions. Answers |
 Word Problems: Fractions Draw a picture or use an equation to help you solve each fraction problem.
Worksheet #1. Answers: 3, 2, 6 |
Identifying Fractions Word Problems Solve word problems that involve identifying fractions. Draw pictures to help solve these word problems. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
|
Shading Fractions of Figures Shade or color the portion of each figure to represent the fraction. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
|
Shade and Reduce Fractions of Figures Shade or color the portion of each figure to represent the fraction. Then finish writing the fraction in reduced terms. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers.
|
Books to Print about Fractions:
 Fractions Printable Number Book A short, printable book for early readers, about fractions, with pages for the student to cut out, items to color, and short phrases to copy. |
 One Half Printable Fraction Book A short, printable book about the fraction one half for early reader, with pages for the student to cut out, items to color, fraction activities, and short phrases to copy. |
 One Quarter Printable Fraction Book A short, printable book about the fraction one quarter for early reader, with pages for the student to cut out, items to color, fraction activities, and short phrases to copy. |
 Pumpkin Patch: Fractions Printable Book A short, printable book about fractions of fall items, including pumpkins, scarecrows, pies, haystacks, apples, leaves, acorns, ears of corn, and spiders. |
 Spring Fractions Printable Book A short, printable book about fractions of spring items, including butterflies, birds, eggs, caterpillars, flowers, tadpoles, rogs, ducks, and rabbits. |
 One Third Printable Fraction Book A short, printable book about the fraction one third for early reader, with pages for the student to cut out, items to color, fraction activities, and short phrases to copy. |
Fraction Worksheets:
Writing Fractions and Reducing to Lowest Terms For each geometric figure, write the fraction of each figure that is dark. Then express the fraction in lowest terms. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
|
Reduce Fractions to Lowest Terms Each worksheet has 15 fractions to reduce to lowest terms (also called expressing in lowest terms). To reduce a fraction to lowest terms, divide both the numerator and denominator by the Greatest Common Divisor (GCD) (also called the Greatest Common Factor (GCF)). Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
|
Express Improper Fractions as Mixed Numbers Each worksheet has improper fractions to express as mixed numbers. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers.
|
Express Mixed Numbers as Improper Fractions Each worksheet has mixed numbers to express as improper fractions. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers.
|
Express Fractions as Decimals and as Percents Each worksheet has fractions to express as decimals and percentages. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers. Worksheet #4 --- Go to the answers.
|
Express Decimals as Fractions and as Percents Each worksheet has decimals to express as fractions and percentages. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers. Worksheet #4 --- Go to the answers.
|
Express Percents as Fractions and Decimals Each worksheet has percentages to convert to decimals and fractions. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers. Worksheet #4 --- Go to the answers.
|
Express Fractions as Percents Each worksheet has 15 fractions to express as percents. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers.
|
Adding Fractions With the Same Denominators Add the fractions (they have the same denominators). Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
|
Drawing and Adding Fractions Draw and add two fractions and plot them on a number line. Worksheet #1: One half and one quarter --- Go to the answers. Worksheet #2: One half and one third --- Go to the answers. Worksheet #3: One half and one sixth --- Go to the answers. Worksheet #4: One half and one eighth --- Go to the answers. Worksheet #5: One half and three eighths --- Go to the answers. Worksheet #6: One quarter and one eighth --- Go to the answers. Worksheet #7: One sixth and one third --- Go to the answers. Worksheet #8: Three quarters and one eighth --- Go to the answers. Worksheet #9: Two thirds and one sixth --- Go to the answers.
|
Adding Fractions With Different Denominators Add the fractions (they have different denominators). Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
|
Subtracting Fractions With the Same Denominators Subtract the fractions (they have the same denominators). Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
|
| Subtracting Fractions With Different Denominators Subtract the fractions (they have different denominators). Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
|
Fractions of an Hour For each of the questions, list the time and draw the hands on the clock to show the time. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
|
Subtracting Fractions Word Problems Solve word problems that involve subtracting fractions. Draw pictures to help solve these word problems. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
|
Multiplying Fractions Multiply the fractions. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
|
Dividing Fractions Divide the fractions. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
|
 LCM, GCD Factor two numbers into primes, then use a Venn diagram to compute their Least Common Multiple (LCM) and Greatest Common Divisor (GCD). Or go to an example of how to use this diagram. |
Comparing Fractions Compare the pairs of fractions, determining which is larger. Worksheet #1 (same denominators) --- Go to the answers. Worksheet #2 (different denominators) --- Go to the answers. Worksheet #3 (different denominators) --- Go to the answers.
|
 Adding Fractions Path-o-Math Puzzles: 2 by 3 Make a path through each number matrix so that the sum of the fractions is equal to the given answer. Use only horizontal and vertical trails. You may not have to use all the numbers, and don't use a number more than once. Puzzle #1, or the answers Puzzle #2, or the answers Puzzle #3, or the answers Puzzle #4, or the answers Puzzle #5, or the answers |
 Addition and Subtraction of Fractions Follow-the-Arrows Puzzles Do addition and subtraction of fractions along the paths according to the arrows until you get to the end. You should get to the same final answer three different ways. Puzzle #1, or the answers Puzzle #2, or the answers Puzzle #3, or the answers Puzzle #4, or the answers Puzzle #5, or the answers |
 Multiplication of Fractions Follow-the-Arrows Puzzles Do multiplication of fractions along the paths according to the arrows until you get to the end. You should get to the same final answer three different ways. Puzzle #1, or the answers Puzzle #2, or the answers Puzzle #3, or the answers Puzzle #4, or the answers Puzzle #5, or the answers |
 Fractions Wheel Make a wheel about fractions using this 2-page print-out; it consists of a base page together with a wheel that spins around. When you spin the wheel, fractions appear (including the fraction written out in English, as a numerator and deniminator, in decimal form, as a percent, illustrated as a pie diagram, and illustrated as a portion of a series of circles). The fractions are one-half, one-quarter, one-third, two-thirds, one-sixth, two-fifths, three-quarters, one-fifth, one-eighth, three-fifths, one-tenth, and four-fifths. The student then writes down the fractions on the wheel in order from smallest to biggest. |
| +, - | Math |
x, ÷ |
| A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |
| Counting | Addition | Subtraction | Multiplication | Division |
| Number Line | Fractions | Decimals | Measurement | Rounding | Graphs |
Enchanted Learning®
Over 35,000 Web Pages
Sample Pages for Prospective Subscribers, or click below
|
Overview of Site What's New Enchanted Learning Home Monthly Activity Calendar Books to Print Site Index K-3 Crafts K-3 Themes Little Explorers Picture dictionary PreK/K Activities Rebus Rhymes Stories Writing Cloze Activities Essay Topics Newspaper Writing Activities Parts of Speech Fiction The Test of Time
|
Biology Animal Printouts Biology Label Printouts Biomes Birds Butterflies Dinosaurs Food Chain Human Anatomy Mammals Plants Rainforests Sharks Whales Physical Sciences: K-12 Astronomy The Earth Geology Hurricanes Landforms Oceans Tsunami Volcano |
Languages Dutch French German Italian Japanese (Romaji) Portuguese Spanish Swedish Geography/History Explorers Flags Geography Inventors US History Other Topics Art and Artists Calendars College Finder Crafts Graphic Organizers Label Me! Printouts Math Music Word Wheels |
Click to read our Privacy Policy
| Search the Enchanted Learning website for: |
Copyright ©2004-2018 EnchantedLearning.com ------ How to cite a web page