Question

Consider the ratio of 153 per 108. Write this ratio in different forms below.

A ratio written as a reduced fraction -
A ratio written as a decimal rounded to the hundredths -
What is the answer to this?

Answer 1

i)
`(17)/(12)`, ii) Approximately 1.42, iii) The answer to this is given by the reduced fraction, as decimal form has an infninite periodic component.

Explanation:

(i) A ratio written as a reduced fraction:

Given ratio is now simplified to its reduce form:

1)
`(153)/(108)` Given

2)
`(51)/(36)` Modulative property/Existence of multiplicative inverse/Definition of division/
`((x)/(y))/((w)/(z)) = (x\cdot z)/(y\cdot w)`

3)
`(17)/(12)` Modulative property/Existence of multiplicative inverse/Definition of division/
`((x)/(y))/((w)/(z)) = (x\cdot z)/(y\cdot w)`/Result

(ii) A ratio written as a decimal rounded to hundredths:

`(17)/(12) \approx 1.42`

(iii) What is the answer to this?

The answer to this is given by the reduced fraction, as decimal form has an infninite periodic component.