Today we will compute simple multiplication of fraction and mixed numbers Compute=Work out Mixed...

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

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:

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.

Step 2 – Multiply your numerators straight across.

12 = 4

Step 3 – Then multiply your denominators straight across.

12 = 4

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.

12 = 4

18÷÷

Multiply and SimplifyMultiply and Simplify

= 930 10

3ofx ÷÷

= 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.

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

27 + 4

Step 3 – Multiply the numerators straight across.

Step 4 – Multiply the denominators straight across.

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

18)311

=x 47x

35 + 4

5 + 397

28)391

=x 19x

27 + 1

3 + 289

63)1121 49

=x 34x

24 + 3

6 + 274

20)1085 8

÷44 = 2

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 =

Steps to multiplying fractionsSteps to multiplying fractions

3. Reduce fractions using the greatest common factor!

14 = 4

20 4 20

Steps to multiplying fractionsSteps to multiplying fractions

3. Reduce fractions using the greatest common factor!

35 = 15

35 15 35

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 =

Today we will compute simple multiplication of fraction and mixed numbers Compute=Work out Mixed...

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