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ADDING & SUBTRACTING FRACTIONS AND MIXED

NUMBERS

MATH

What Are You Learning?I CAN add fractions and mixed numbers.

I CAN convert improper fractions into mixed numbers.

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Why Do You Need To Know This? Adding fractions is important

because many real-world situations deal with fractions.

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

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Vocabulary

Improper Fraction: An improper fraction is a fraction with a numerator that is greater than or equal to the denominator.

Ex: 19/5 21/8

Mixed Number: A mixed number is the sum of a whole number and a fraction.

Ex: 2 1/5 6 1/44

Converting Improper Fractions into Mixed Numbers1. Divide to see how many times the

denominator will go into the numerator – this will be your whole number.

2. Your remainder will be your new numerator.OR multiply the whole number and denominator and subtract that answer from the numerator to get your new numerator.

3. Keep the same denominator.4. Simplify if needed!

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Convert each improper fraction into a mixed number.

a. 9/4

b. 10/3

c. 9/2

d. 20/3

e. 22/5

f. 29/5

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Vocabulary

Like fractions

Fractions that have the same denominator.

Unlike fractionsFractions that have different

denominators.

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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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Adding Unlike Fractions Find the least common

denominator.

Change the numerators. (Find equivalent fractions)

Add the numerators and keep the denominator.

Simplify. 10

Add. Simplify if needed.

a. ½ + 1/6

b. 1/3 + 1/9

c. 7/8 + ¾

d. 5/6 + 4/912

Adding Mixed Numbers

Add the whole numbers.

Add the fractions.

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