Question

Use the picture below to answer questions 3 – 7. 3) Write the ratio of red circles to yellow circles. _____4) Write the ratio of blue circles to green circles. _____5) Write the ratio of yellow circles to blue circles. _____6) Write the ratio of blue circles to the total number of circles. _____7) Write the ratio of green circles to the total number of circles. _____

Answer 1

The ratio of a number a to a number b can be represented as a fraction a/b, which is the same as a:b.

To find the requested ratios, first find the amount of circles of each color on the picture:

Red circles: 4

Yellow circles: 3

Blue circles: 3

Green circles: 5

Total number of circles: 15

3)

To find the ratio of red circles to yellow circles, use the number of red circles (4) as numerator and the number of yellow circles (3) as denominator:

`(4)/(3)`

Since this fraction is already written in its lowest terms, the ratio of red circles to yellow circles is:

`4\colon3`

4)

Using a similar procedure, the ratio of blue circles to green circles is:

`3\colon5`

5)

First, write the ratio of yellow circles to blue circles as a fraction:

`(3)/(3)`

This fraction can be simplified since both numerator and denominator are multiples of 3:

`(3)/(3)=(3/3)/(3/3)=(1)/(1)`

Since the fraction 1/1 is equivalent to 3/3, then the ratio of yellow circles to blue circles is:

`1\colon1`

6)

First, write the ratio of blue circles to the total number of circles as a fraction and simplify it:

`(3)/(15)=(3/3)/(15/3)=(1)/(5)`

Then, the ratio of blue circles to the total number of circles is:

`1\colon5`

7)

First, write the ratio of green circles to the total number of circles as a fraction and simplify it:

`(5)/(15)=(5/5)/(15/5)=(1)/(3)`

Then, the ratio of green circles to the total number of circles, is:

`1\colon3`