Contributed by:

Add & subtract, unlike fractions. These grade 7 worksheets provide practice in adding and subtracting fractions with both like and unlike denominators.

1.
Adding / Subtracting Fractions

Adding and Subtracting

Fractions

Unlike Denominators

Adding and Subtracting

Fractions

Unlike Denominators

2.
Adding / Subtracting Fractions

What are Equivalent Fractions?

Fractions that have the same value.

For example, 1/2 = 2/4 = 3/6

EQUIVALENT means EQUAL so all equivalent fractions have to be equal.

I have a pizza and cut in half. I give half to my friend, and I keep half. I take the half I have and cut

it in half again. I still have half of the pizza.

What are Equivalent Fractions?

Fractions that have the same value.

For example, 1/2 = 2/4 = 3/6

EQUIVALENT means EQUAL so all equivalent fractions have to be equal.

I have a pizza and cut in half. I give half to my friend, and I keep half. I take the half I have and cut

it in half again. I still have half of the pizza.

3.
Adding / Subtracting Fractions

How do you make an equivalent fraction?

MULTIPLY or DIVIDE a fraction by another fraction that is equal to one. In other

words, MULTIPLY or DIVIDE the numerator and denominator by the same number !

For example:

How do you make an equivalent fraction?

MULTIPLY or DIVIDE a fraction by another fraction that is equal to one. In other

words, MULTIPLY or DIVIDE the numerator and denominator by the same number !

For example:

4.
Adding / Subtracting Fractions

RULE:

You CANNOT add or

subtract fractions unless the

denominators are the same.

NEVER add or subtract the

denominators!

RULE:

You CANNOT add or

subtract fractions unless the

denominators are the same.

NEVER add or subtract the

denominators!

5.
Adding / Subtracting Fractions

Steps for Adding/Subtracting

Fractions with Uncommon

Denominators

Steps for Adding/Subtracting

Fractions with Uncommon

Denominators

6.
Adding / Subtracting Fractions

STEP 1: ½+¼

You can multiply 2 and 4 to get 8,

Find a common which is a common denominator. Or

denominator. you can list the multiples of 2 and 4

You can either multiply until you find the LCM.

the denominators OR 2 – 2, 4, 6, . . .

find the LCM by listing 4 – 4, 8, 12 . . .

all the multiples of both

numbers. The LCM is 4.

STEP 1: ½+¼

You can multiply 2 and 4 to get 8,

Find a common which is a common denominator. Or

denominator. you can list the multiples of 2 and 4

You can either multiply until you find the LCM.

the denominators OR 2 – 2, 4, 6, . . .

find the LCM by listing 4 – 4, 8, 12 . . .

all the multiples of both

numbers. The LCM is 4.

7.
Adding / Subtracting Fractions

STEP 2:

Write equivalent • ½ = 4/8

fractions with the • ¼ = 2/8

common

denominator.

STEP 2:

Write equivalent • ½ = 4/8

fractions with the • ¼ = 2/8

common

denominator.

8.
Adding / Subtracting Fractions

STEP 3:

Write the problem ½+¼

with equivalent 4/8 + 2/8 = 6/8

fractions.

STEP 3:

Write the problem ½+¼

with equivalent 4/8 + 2/8 = 6/8

fractions.

9.
Adding / Subtracting Fractions

STEP 4: You can simplify

Simplify if needed.

Don’t forget when 6/8 to 3/4

simplifying, divide Because the GCF

both the of 6 and 8 is 2, so

numerator and 6 divided by 2 is 3

denominator by and 8 divided by 2

the GCF. is 4.

STEP 4: You can simplify

Simplify if needed.

Don’t forget when 6/8 to 3/4

simplifying, divide Because the GCF

both the of 6 and 8 is 2, so

numerator and 6 divided by 2 is 3

denominator by and 8 divided by 2

the GCF. is 4.