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PPT – Today we will compute simple division of fractions. PowerPoint presentation | free to download - id: 78ae0f-YWMyN

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Today we will compute simple division of

fractions.

Compute calculate or work out But First lets

review what weve already learned!

Remember that when multiplying fractions

- When multiplying fractions, they do NOT need to

have a common denominator. - To multiply two (or more) fractions, multiply

across, numerator by numerator and denominator by

denominator. - If the answer can be simplified, then simplify

it. - Example
- Example

Equivalent Fractions

- Name the same amount but have different

numerators and denominators.

1

2

1

1

4

2

4

2

1

4

Equivalent Fractions

- Are sometimes called equal fractions two

or more fractions that name the same number.

1

2

1

1

4

2

4

2

1

4

Equivalent Fraction Models

1

2

3

2

4

6

Simplifying

Reduce

10 Greatest Common Factor

Write the numerator and denominator as a product

of factors, then cancel common factors and obtain

the result.

Simplifying

Write the numerator and denominator as a product

of common factors then cancel the common factors

and obtain the result.

Repeat the simplification process until all

common factors are removed.

Converting Mixed Numbers

1

1

5

5

3

3

3

3

16

3

Multiply the whole number by the denominator

Add the numerator to the result

Place over the initial denominator

Compute the final result

Converting Mixed Numbers

2

2

6

6

9

9

9

9

56

9

Multiply the whole number by the denominator

Add the numerator to the result

Place over the initial denominator

Compute the final result

Lets think about what dividing fractions means.

In this expression it means How many one

eighths are in three fourths?

For example, how many one eighth slices of pizza

are in three fourths of a pizza?

How many one eighths are in three fourths?

To find this we must first find 3/4 of the pizza.

We then cut each fourth into halves to make

eighths.

We can see there are 6 eighths in three fourths.

EXAMPLE 1

How many one eighths are in one half?

Using a fraction manipulative, we show one half

of a circle.

To find how many one eighths are in one half, we

cover the one half with eighths and count how

many we use.

We find there are 4. There are four one eighths

in one half.

Dividing Fractions

- When dividing fractions, they do NOT need to have

a common denominator. - To divide two fractions, change the operation to

multiply and take the reciprocal of the second

fraction (flip the second fraction).

Keep-Change-Change.

Dividing Fractions

- Finish the problem by following the rules for

multiplying fractions.

Dividing Fractions

Ex) Divide.

Dividing Fractions

Ex) Divide.

Dividing Fractions

Ex) Divide. Invert and Multiply !

Dividing Fractions

Ex) Divide. 15 and 5 have a common

factor.

Dividing Fractions

Ex) Divide. Divide them both by 5.

Dividing Fractions

Ex) Divide.

Dividing Fractions

Ex) Divide. 22 and 6 have a

common factor.

Dividing Fractions

Ex) Divide. Divide them both by

2.

Dividing Fractions

Ex) Divide. Divide them both by

2.

Dividing Fractions

Ex) Divide.

Dividing Fractions

Ex) Divide.

It is important to know how to compute simple

division of fractions because...

- You will need to know it for 7th grade math!
- You will need it for the CSTs!
- Why else is it important?

What weve learned!

- How do you reduced fractions? Do you use the LCM

or the GCF? - What does compute mean?
- What happens if you need to multiply or divide

fractions and the number is mixed?