Question

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

Answer 1

Answer:

$\frac{2.54cm}{1in}$

Step-by-step explanation:

Given

$3.6m = 3.6m * \frac{100cm}{1m} * \frac{2.54cm}{1in} * \frac{1ft}{12in} * \frac{1yd}{3ft}$

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 $\frac{100cm}{1m}$

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

The next is: $\frac{2.54cm}{1in}$

$2.54\ cm = 1\ in$

The conversion is correct; however the ratio is incorrect.

This is so because, the first ratio ($\frac{100cm}{1m}$) 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:

$\frac{1\ in}{2.54\ cm}$