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More Math
Activities
EnchantedLearning.com
Fractions
NUMERATOR
DENOMINATOR
Identifying
Fractions
Reducing to
Simplest Form,
Equivalent Fractions
Improper
Fractions
Fractions to
Decimals, Percents
Comparing
Fractions
Adding
Fractions
Multiplying
Fractions
Worksheets
and Books
to Print
Subtracting
Fractions
Dividing
Fractions
Overview of Fractions

A fraction is a part of a whole, like one half (1/2), one third (1/3), two thirds (2/3), one quarter (1/4), etc. For example, half of an apple is a fraction of an apple.

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 dividde 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 FractionsEquivalent 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:
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:
Improper FractionsAn 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:
Fraction to decimalEvery 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:
Fraction to percentFraction to percentA 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:
add FractionsTo 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:
Multiply FractionsTo multiply two or more fractions, multiply the numerators and multiply the denominators. Then simplify the answer (put the fraction in lowest terms).

Comparing Fractions:
Compare FractionsTo 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

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

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

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

One Fifth: A Fraction Worksheet

Learn about the fraction one fifth and do simple problems on 1/5. Or go to the answers.
dominoes

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

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

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

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

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

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 shapes

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

Color Fractions Worksheet

Color 1/2, 1/3, 1/4, or 1/5 of the pictures.
Follow the Instructions

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.
Follow the Instructions

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

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

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

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

Fractions of Robots Printout

Find the fractions of the robots that are made of different shapes. Or go to the answers.
Fractions of Groundhogs

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

Fractions of Balloons Printout

Find the fractions of the balloons that have different patterns. Or go to the answers.
Fractions of Cookies

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

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

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 to label

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
Worksheet #2. Answers: 5, 3, 1
Worksheet #3. Answers: 4, 4, 1
Worksheet #4. Answers: 9, 6, 1
Worksheet #5. Answers: 6, 8, 3
Worksheet #6. Answers: 8, 2, 2
Worksheet #7. Answers: 3, 9, 3
Worksheet #8. Answers: 7, 2, 10

Identifying Fractions Word Problems

Identifying Fractions worksheet thumbnail

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

Shading Fractions worksheet thumbnail

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

Shading Fractions worksheet thumbnail

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

Reducing Fractions worksheet thumbnail


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

Reducing Fractions worksheet thumbnail

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

Fractions as Percents


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

Fractions as Percents


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

Fractions 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

Fractions, 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

Fractions, Percents

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

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 DenominatorsAdding Fractions worksheet thumbnail

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.

Adding Fractions With Different Denominators

Adding Fractions worksheet thumbnail


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

Subtracting Fractions worksheet thumbnail

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

Subtracting Fractions worksheet thumbnail

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

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

Subtracting Fractions worksheet thumbnail

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

Multiplying Fractions worksheet thumbnail


Multiply the fractions.

Worksheet #1 --- Go to the answers.

Worksheet #2 --- Go to the answers.

Worksheet #3 --- Go to the answers.

Dividing Fractions

Multiplying Fractions worksheet thumbnail


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

Comparing Fractions worksheet thumbnail

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

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