Today we will compute simple multiplication of fraction and mixed numbers Compute=Work out Mixed number=fractions with whole numbers

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Today we will compute Today we will compute simple multiplication of simple multiplication of

fraction and mixed numbersfraction and mixed numbers

Compute=Work out

Mixed number=fractions with whole numbers

Copyright © 2000 by Monica Yuskaitis

ComputeCompute

Compute is when you work out a problem. For example, a math problem might ask you to compute the product of 5 and 6. You would then write:

5x6=30.


Mixed NumbersMixed Numbers

Mixed numbers are fractions that also have whole numbers. For example:

1 ½

2 ¼

3 ¾


Times You Would Multiply a Times You Would Multiply a Mixed Number Times a FractionMixed Number Times a Fraction

In a car race, the track is 2 ¼ miles long. If the car breaks down ½ way through the

course, how far did you go? 1/2 of 2 1/4 or 1/2 x 2 1/4


How to Find a Fraction of a How to Find a Fraction of a FractionFraction

Step 1 - When you see a fraction problem you know when you read “of” in the problem you multiply.

ofx12

49



Step 2 – Multiply your numerators straight across.

x 49

12 = 4



Step 3 – Then multiply your denominators straight across.

x 49

12 = 4

18


How to Find the Fraction of a How to Find the Fraction of a FractionFraction

Step 4 – Simplify your answer. In this case we reduce.

x 49

12 = 4

18÷÷

22= 2

9


Multiply and SimplifyMultiply and Simplify

95

16

= 930 10

3ofx ÷÷

33

=



34

89

= 2436 3

2ofx ÷÷1212

=


How to Find a Fraction of a How to Find a Fraction of a Mixed NumberMixed Number

The first thing to remember is “of” means multiply in mathematics.

of = x



Step 1 - When you see a fraction problem you know when you read “of” in the problem you multiply.

ofx12

493



Step 2 – Change the mixed number to an improper fraction.

x12

493x

+

27

27 + 4

319



Step 3 – Multiply the numerators straight across.

x12

319

31=



Step 4 – Multiply the denominators straight across.

x12

319

31=18



Step 5 – Simplify your answer. In this case change the improper fraction to a mixed number.

x12

319

31=18

18)311

1813

1318



14

=x 47x

35

35 + 4

5 + 397

3928

28)391

1128



47

=x 19x

27

27 + 1

3 + 289

11263

63)1121 49

63÷

÷77

= 79



45

=x 34x

24

24 + 3

6 + 274

10820

20)1085 8

20÷

÷44 = 2

5


It’s important to know how to It’s important to know how to multiply fractions and mixed multiply fractions and mixed

numbers because…numbers because…If you are ever helping your parents build a

house, you can help them cut wood.It will be on your CST’s!What are other reasons why it is important

to know how to multiply with fractions and mixed numbers?


Steps to multiplying fractionsSteps to multiplying fractions1. Convert the whole

number to a fraction by putting a one under it.

2. Multiply the numerators!

3. Multiply the denominators!

4. If the numerator is greater than the denominator, divide the denominator into the numerator. The remainder is the fraction and the denominator stays the same.

x 45 =

32 5

8 1

32 5


Steps to multiplying fractionsSteps to multiplying fractions



3. Reduce fractions using the greatest common factor!

x 45

14 = 4

20 4 20

÷÷

÷

4 4 =

1 5


Steps to multiplying fractionsSteps to multiplying fractions



3. Reduce fractions using the greatest common factor!

x 57

35 = 15

35 15 35

÷÷

÷

5 5 =

3 7


Let’s review what we learned!Let’s review what we learned!

What does compute mean?What are mixed numbers?What is ½ x ¼ =

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Today we will compute simple multiplication of fraction and mixed numbers Compute=Work out Mixed number=fractions with whole numbers