Answer:
[tex]\frac{2.54cm}{1in}[/tex]
Step-by-step explanation:
Given
[tex]3.6m = 3.6m * \frac{100cm}{1m} * \frac{2.54cm}{1in} * \frac{1ft}{12in} * \frac{1yd}{3ft}[/tex]
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 [tex]\frac{100cm}{1m}[/tex]
[tex]1m = 100cm[/tex] --- The ratio is correct
The next is: [tex]\frac{2.54cm}{1in}[/tex]
[tex]2.54\ cm = 1\ in[/tex]
The conversion is correct; however the ratio is incorrect.
This is so because, the first ratio ([tex]\frac{100cm}{1m}[/tex]) 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:
[tex]\frac{1\ in}{2.54\ cm}[/tex]
