Simplifying Fractions and Ratios

Created by:Maury Middle School Math teachers:

Pat Layton 6th grade and Lynn Husen 7th grade.

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.

textbook

page. 193

textbook

page. 193

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 4:16

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.

Let’s 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.

Let’s Practice

Click the check beside the correct answer.

1.4/5 = ?/10

6/10

8/10

5/10

Let’s Practice

OOPS! Try again.

Let’s Practice

YEAH! That is correct!

Let’s Practice

Click the check beside the correct answer.

8/9 = ?/27

22/27

24/27

8/27

Let’s Practice

OOPS! Try again.

Let’s Practice

YEAH! That is correct!

Let’s Practice

Click the check beside the correct answer.

3/4 = ?/12

9/12

12/12

6/12

Let’s Practice

OOPS! Try again.

Let’s Practice

YEAH! That is correct!

Let’s 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. Layton’s

Web Site . The address is http://www.geocities.com/Athens/Bridge/9892/index.html

Go there now!