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:

$\frac{4}{3}$

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:

$\frac{3}{3}$

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

$\frac{3}{3}=\frac{3\div3}{3\div3}=\frac{1}{1}$

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:

$\frac{3}{15}=\frac{3\div3}{15\div3}=\frac{1}{5}$

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:

$\frac{5}{15}=\frac{5\div5}{15\div5}=\frac{1}{3}$

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

$1\colon3$