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## Simplifying Fractions and Ratios

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### Simplifying Fractions and Ratios Created by:Maury Middle School Math teachers: Pat Layton 6th grade and Lynn Husen 7th grade. What you will learn:. – PowerPoint PPT presentation

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Title: Simplifying Fractions and Ratios

1
Simplifying Fractions and Ratios
Created byMaury Middle School Math teachers Pat
2
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 16
4 out of 16 416 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.
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
6
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
Lets Practice Click the check beside the correct
1. 4/5 ?/10

6/10
8/10
5/10
8
Lets Practice
OOPS! Try again.
9
Lets Practice
YEAH! That is correct!
10
Lets Practice Click the check beside the correct
8/9 ?/27
22/27
24/27
8/27
11
Lets Practice
OOPS! Try again.
12
Lets Practice
YEAH! That is correct!
13
Lets Practice Click the check beside the correct
3/4 ?/12
9/12
12/12
6/12
14
Lets Practice
OOPS! Try again.
15
Lets Practice
YEAH! That is correct!
16
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
17
ARE THERE ANY QUESTIONS?
For extra practice visit Mrs. Laytons Web Site