27 worksheets · 20 pages each

Fractions

Free printable fractions worksheets, starting with simplifying a fraction and working through equivalent fractions, adding and subtracting them, finding a fraction of an amount and comparing two fractions. Every question is written as a proper fraction, so it looks the way it does in a textbook. Each worksheet has its own answer sheet, and all of them are free to download.

Simplify Fractions

A fraction is given with a common factor on both lines and has to be cancelled down to lowest terms. The answer is worked out by dividing both numbers, so the habit is established before fractions have to be added together.

Cancel To Lowest Terms

Basics

Simplify 6/8, 4/6, 10/15

Download PDFs
Play Games

Harder

Simplify 24/36, 45/60, 63/84

Download PDFs
Play Games

Mixed

Simplify 6/8, 24/36, 45/60

Download PDFs
Play Games

Equivalent Fractions

One line of a pair of equal fractions is incomplete and the missing number has to be found. The numerator is left blank rather than marked with a question mark, so it reads as a gap to fill in, and there is no answer line: the equation already has somewhere to write the answer. Both lines are multiplied by the same factor, so the work is the inverse of simplifying.

Fill In The Missing Number

Basics

3/4 = /8, 1/2 = /6

Download PDFs
Play Games

Harder

3/5 = /20, 5/8 = /32

Download PDFs
Play Games

Mixed

3/4 = /8, 3/5 = /20

Download PDFs
Play Games

Same Denominator

Adding and taking away fractions that share a denominator, so only the top line changes. The basics leave the answer in lowest terms already; the harder ones need cancelling down as a second step, which is the point where this is usually lost.

Adding Fractions

Basics

1/5 + 2/5, 2/7 + 3/7

Download PDFs
Play Games

Harder

1/4 + 1/4, 2/6 + 2/6

Download PDFs
Play Games

Mixed

1/5 + 2/5, 1/4 + 1/4

Download PDFs
Play Games

Subtracting Fractions

Basics

4/5 - 2/5, 6/7 - 3/7

Download PDFs
Play Games

Harder

3/4 - 1/4, 5/6 - 3/6

Download PDFs
Play Games

Mixed

4/5 - 2/5, 3/4 - 1/4

Download PDFs
Play Games

Adding And Subtracting Fractions

Basics

1/5 + 2/5, 4/5 - 2/5

Download PDFs
Play Games

Harder

1/4 + 1/4, 3/4 - 1/4

Download PDFs
Play Games

Mixed

1/5 + 2/5, 3/4 - 1/4

Download PDFs
Play Games

Different Denominators

One denominator is a multiple of the other, so one line is converted and the rest is the same-denominator work again. Both the sum and the difference come out in lowest terms, which keeps the answer sheet unambiguous.

Adding Fractions

Basics

1/2 + 1/4, 1/3 + 1/6

Download PDFs
Play Games

Harder

2/3 + 1/6, 3/4 + 1/8

Download PDFs
Play Games

Mixed

1/2 + 1/4, 2/3 + 1/6

Download PDFs
Play Games

Subtracting Fractions

Basics

3/4 - 1/2, 5/6 - 1/3

Download PDFs
Play Games

Harder

7/8 - 1/4, 5/6 - 1/2

Download PDFs
Play Games

Mixed

3/4 - 1/2, 7/8 - 1/4

Download PDFs
Play Games

Fractions Of Amounts

A fraction of a whole number, which is where the link between fractions and division is made. Unit fractions come first, where the whole job is dividing, then fractions with a numerator above one, where the answer is one part multiplied up. Every amount is a multiple of the denominator, so every answer is a whole number.

Unit And Non-Unit Fractions

Basics

What is 1/4 of 20, 1/3 of 18

Download PDFs
Play Games

Harder

What is 3/4 of 20, 2/3 of 18

Download PDFs
Play Games

Mixed

What is 1/4 of 20, 3/4 of 20

Download PDFs
Play Games

Comparing Fractions

Two fractions are put side by side and the sign that makes the statement true has to be written in the gap between them. The basics can be judged by looking; the harder comparisons need a common denominator or cross multiplication.

Which Fraction Is Bigger

Basics

1/2 __ 1/3, 3/5 __ 4/5

Download PDFs
Play Games

Harder

2/3 __ 3/4, 5/8 __ 3/5

Download PDFs
Play Games

Mixed

1/2 __ 1/3, 2/3 __ 3/4

Download PDFs
Play Games

Play Games

Pick a worksheet, then choose a game. Problems come from that worksheet and everything easier.

Concentration
Match each problem with its answer.