Question

15. In order to convert 3.6 meters into yards, Evin used the following product:

100 centimeters 2.54 centimeters 1 foot 1 yard
3.6 meters x
1 meter
1 inch 12 inches 3 feet
Which of the following ratios was written incorrectly in this conversion process?
X
X
100 centimeters
1 meter
(3)
1 foot
12 inches
(2)
2.54 centimeters
1 inch
1 yard
3 feet

Answer 1

`(2.54cm)/(1in)`

Explanation:

Given

`3.6m = 3.6m * (100cm)/(1m) * (2.54cm)/(1in) * (1ft)/(12in) * (1yd)/(3ft)`

Required

Which ratio is incorrect

Each ratio is a conversion of 1 unit to the other.

Taking them one at a time.

The first is
`(100cm)/(1m)`

`1m = 100cm` --- The ratio is correct

The next is:
`(2.54cm)/(1in)`

`2.54\ cm = 1\ in`

The conversion is correct; however the ratio is incorrect.

This is so because, the first ratio (
`(100cm)/(1m)`) has centimetre as the numerator

The next should have centimetre has its denominator in order to cancel out the units.

So, the correct ratio is:

`(1\ in)/(2.54\ cm)`