This document defines and provides examples of ratios. Ratios are used to compare two or more quantities. The document gives examples of comparing quantities of different colored M&M's using ratios expressed in terms like 6:3 or 2:1. It also explains how to simplify ratios by dividing each number by the largest common factor. Additional examples show how to share an amount, like 16 donuts, between two people according to a given ratio like 3:1.

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3. Ratio

4. What is Ratio?
Ratio is a way of comparing two or
more quantities
Example
Number of YELLOW of m&m in a box
compared to GREEN

5. YELLOW & GREEN m&m
6 YELLOW 3 GREEN
“The Ratio of YELLOW to GREEN m&m is 6 to 3”
Yellow : Green
6 : 3 2 : 1
“The Ratio of YELLOW to GREEN m&m is 2:1”

6. RED & ORANGE m&m
6 RED 3 ORANGE
“The Ratio of RED to ORANGE m&m is 3 to 6”
RED : ORANGE
3 : 6
1 : 2
“The Ratio of RED to ORANGE m&m is 1:2”
“For every RED m&m, there are 3 Orange”

7. Simplifying Ratios
In the m&m example, we changed
6:3 to 2:1
This is called Simplifying a ratio
We did it by dividing each number
by 3
3 was the largest common factor

8. Try these. Simplify the ff
ratio.
1.) 4:2
2.) 10:4
3.) 7:24
4.) 5:35
5.) 6:18

9. 1.) 4:2
2.) 10:4
3.) 7:24
4.) 5:35
5.) 6: 18
2:1
5:2
1:4
1:7
1:3
Answer

10. Sharing an amount in a given ratio
Picachu and Sponge bob share a 16 pieces of
Donuts in the ratio 3:1”
This means “for
every 3 donuts
Picachu gets,
Spongebob
gets 1”
12 4

11. Spongebob and Picachu share a bag of 16 donutsin the ratio
1:3”
1 share 3 shares
Another way to think of this 1:3 is shares
Picachu gets 3 shares to Spongebob’s 1
So there are actually 4 shares 16 donuts shared by 4
16 ÷ 4 = 4 in a share
1 x 4 3 x 4
4 12

12. Sharing an amount in a given ratio
Picachu and Sponge bob share a 16 pieces of
Donuts in the ratio 3:1
12 3
4 1

13. Keep in Mind

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