Multiplying Fractions

When do we Multiply? X of ()() ()2 2y

To multiply fractions, we simply multiply numerators, and denominators.

Numerators x NumeratorsDenominators x Denominators

23 x 4

5 Just multiply across

2 x 43 x 5 = 8

15

On Paper

23

x 78

56

45

x

2 x 35

Whole numbers areplaced over 1.

21

Changing a mixed number to an improper fraction.

112

We multiply the WHOLE number and DENOMINATOR and add the NUMERATOR

1 x 2 + 12

= 32

The Denominator stays the same.

1 12 =

Whole Number

Numerator

Denominator

1 1

2x+

On Paper change to improper fractions

2 23

253

Changing a improper fraction to a mixed number

235

Divide the numerator by the denominator

2354

203

Whole Number

Numerator

Demoninator

435

On Paper change to mixed numbers

347 27

4

Multiplying Mixed NumbersNow we put it all together.

1 x 312

34

Step 1: Change mixed numbers to Improper Fractions.Step 2: Multiply Across, Numerators and Denominators.Step 3: Change Improper Fractions to Mixed/Whole Numbers.Step 4: Reduce if needed.

On Paper

2 x 123

45

Step 1: Change mixed numbers to Improper Fractions.Step 2: Multiply Across, Numerators and Denominators.Step 3: Change Improper Fractions to Mixed/Whole Numbers.Step 4: Reduce if needed.

Problem Solving

Vivian ate 1/4 her sister ate1/3 of what remained (3/4)

Her brother ate1/2 of whatremained

(1/2)

3* If the product of 1/2 and 1/2 is subtracted from the sum of 1/2 and 1/2, what is the difference?

5* Reduce 16/24

6* 1/8 + 3/8

7* 1/2 x 2/3

8* 7/12 - 3/12

14* Convert 18/4 to a mixed number. Remember to reduce the fraction part of the mixed number.

21* Compare: 2/3 x 3/2 1

24* (1/2 x 1/2) - 1/4

26* What fraction is 2/3 of 3/5 ?

27* What is the product of 3/4 and 4/3 ?