Question

Consider the ratio of 153 per 108. Write this ratio in different forms below. A ratio written as a reduced fraction: ____ A ration written as a decimal rounded to the hundredths: ___

Answer 1

17/12 and 1.42

Explanation:

Ratios can be used to compare values and also can be written in various forms.

Given the following example

the ratio of 153 per 108.

153:108

A. this ratio can expressed in the reduced fraction as

dividing both the numerator and the denominator by a common factor of 3 will give

=153/108 = 51/36

we can further divide by a common factor of 3 to further reduce the ratio

= 51/36= 17/12

hence the ratio expressed as a reduced fraction is 17/12

B. ration written as a decimal rounded to the hundredths:

A ratio written as a decimal rounded to the hundredths:

to express the ratio as a decimal we have to divide the numerator by the value of the denominator i.e 153/108= 1.4166

to the nearest hundredth we have 1

1.42