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Adding & Subtracting Fractions and Mixed Numbers

MATH

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What Are You Learning?

I CAN add fractions and mixed numbers.

I CAN subtract fractions and mixed numbers.

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Why Do You Need To Know This?

Adding and subtracting fractions is important because many real-world situations deal with fractions.

Such as recipes, measurements, distances, lengths, and heights.

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Do You Know? What is the answer for 6/11 + 3/11?

What are the steps for solving the above problem?

What is the answer for 3/10 + 5/10?

What are the steps for solving the above problem?

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Vocabulary

Like fractionsFractions that have the same denominator.

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Adding Like Fractions

Add the numerators.

Keep the same denominator.

Simplify if needed.

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Find each sum.

a. 5/9 + 2/9

b. 7/12 + 4/12

c. 6/7 + 3/7

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Vocabulary

Unlike fractionsFractions that have different denominators.

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Do You Know?

What is the answer for the ¾ + 1/8?

The answer is 7/8. Can you figure out how to find the answer?

What are the steps for solving the above problem?

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Adding Unlike Fractions Find the least common denominator.

Change the numerators. (Find equivalent fractions)

Add the numerators and keep the denominator.

Simplify.

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Add. Simplify if needed.

a. ½ + 1/6

b. 1/3 + 1/9

c. 7/8 + ¾

d. 5/6 + 4/9

Adding Mixed Numbers Write in simplest form.

a. 7 ¾ + 2 ¾

b. 7 1/8 + 5 3/8

c. 7 ¾ + 2 2/3

d. 6 1/3 + 2 1/6

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Subtracting Like Fractions

Subtract the numerators.

Keep the same denominator.

Simplify if needed.

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Subtract. Write in simplest form.

a. 9/10 – 1/10

b. 5/6 – 1/6

c. 8/9 – 2/9

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Subtract. Write in simplest form.

a. 7/8 - 5/6

b. ¾ - 1/6

c. 5/6 – 3/8

d. 2/3 – 1/6

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Subtracting Like Fractions

Subtract the numerators.

Keep the same denominator.

Simplify if needed.

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Subtract. Write in simplest form.

a. 9/10 – 1/10

b. 5/6 – 1/6

c. 8/9 – 2/9

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Subtract. Write in simplest form.

a. 7/8 - 5/6

b. ¾ - 1/6

c. 5/6 – 3/8

d. 2/3 – 1/6

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Subtracting Mixed Numbers Write in simplest form.

a. 8 5/6 – 2 1/3

b. 13 7/8 – 9 ¾

c. 9 7/10 – 4 3/5

d. 7 – 1 ½

e. 11 - 6 3/8

f. 8 – 3 2/3

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Subtracting Mixed Numbers Write in simplest form.

a. 7 ¼ - 2 ¾

b. 5 1/5 – 3 4/5

Class Work

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