1. Simplifying Fractions and Ratios
Created by:Maury Middle School Math teachers:
Pat Layton 6th grade and Lynn Husen 7th grade.

2. When will you ever use this?
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.

3. 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 out of :16
Ratios can be expressed as fractions. In this case, the fraction is 4/16.

4. 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.

5. 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

6. Sometimes you will have to find a missing part of a fraction
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.

7. Click the check beside the correct answer.
Let’s Practice
Click the check beside the correct answer.
4/5 = ?/10
6/10
8/10
5/10

8. Let’s Practice
OOPS! Try again.

9. Let’s Practice
YEAH! That is correct!

10. Click the check beside the correct answer.
Let’s Practice
Click the check beside the correct answer.
8/9 = ?/27
22/27
24/27
8/27

11. Let’s Practice
OOPS! Try again.

12. Let’s Practice
YEAH! That is correct!

13. Click the check beside the correct answer.
Let’s Practice
Click the check beside the correct answer.
3/4 = ?/12
9/12
12/12
6/12

14. Let’s Practice
OOPS! Try again.

15. Let’s Practice
YEAH! That is correct!

16. 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

17. ARE THERE ANY QUESTIONS?
For extra practice visit Mrs. Layton’s
Web Site . The address is
Go there now!