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Simplifying Fractions and Ratios

Created byMaury Middle School Math teachers Pat

Layton 6th grade and Lynn Husen 7th grade.

textbook page. 193

What you will learn. How to express

fractions and ratios in simplest form. When will

you ever use this? When you want to analyze

football scores.

Words You Need To Know

1. Ratio is a comparison of two numbers by

division. Example The ratio that compares 4

to 16 can be written in

several ways. 4 to 16

4 out of 16 416 Ratios can be

expressed as fractions. In this case, the

fraction is 4/16.

You can write the fraction 4/16 as 2/8 and also

as 1/4. 2. Equivalent fractions fractions that

name the same

number. 3. Simplest form when the

numerator and the denominator have a GCF of 1.

Hint To put fractions in simplest

form, reduce the

fraction to lowest terms.

Example 4/10 in simplest form is 2/5.

because both 4 and 10 can be divided by 2.

4 divided by 2 is 2, and 10

divided by 2 is 5.

Lets Practice. 14/18 7/9 because both 14

and 18 can be divided by what number? 2, 3, or

6. 30/35 6/7 because they can be divided by

what number? 10, 2, or, 5

Sometimes you will have to find a missing part of

a fraction. When you do this you are finding

equivalent fractions. Example 1/2 is equal to

?/8 HINT to solve this problem find what

number you can multiply 2 by to get 8. In this

problem the number is 4. Then simply multiply the

1 by 4 to find the missing number. 2 x 4 8 so 1

x 4 4 and the new equivalent fraction is

1/2 is equal to 4/8.

Lets Practice Click the check beside the correct

answer.

- 4/5 ?/10

6/10

8/10

5/10

Lets Practice

OOPS! Try again.

Lets Practice

YEAH! That is correct!

Lets Practice Click the check beside the correct

answer.

8/9 ?/27

22/27

24/27

8/27

Lets Practice

OOPS! Try again.

Lets Practice

YEAH! That is correct!

Lets Practice Click the check beside the correct

answer.

3/4 ?/12

9/12

12/12

6/12

Lets Practice

OOPS! Try again.

Lets Practice

YEAH! That is correct!

Lets Review How to simplifying fractions and

ratios. 1. How can you write the ratio 3 to

12. 2. How can you reduce the fraction

4/16. 3. How can you find the equivalent fraction

for 3/5 ?/20

ARE THERE ANY QUESTIONS?

For extra practice visit Mrs. Laytons Web Site

. The address is http//www.geocities.com/Athens/B

ridge/9892/index.html

Go there now!