Question

How many inches are there in \[\dfrac{1}{8}\] th of a yard?

Answer 1

Hint: In the given question, we have been given to do conversion of one unit of length to another. Here, we have to convert yards to inches. For solving this question, we are first going to convert a single standard unit to both of these measurements. Then we are just going to divide the two by making the given adjustments.

Complete step-by-step answer:
We are going to convert meters to inches and yards.
\[1m = 1.09yd\]
\[1m = 39.3in\]
Now, comparing the two equations,
\[1.09yd = 39.3in\]
or \[1yd = 36in\]
We want to convert \[\dfrac{1}{8}yd\] to inches.
So, dividing both sides by \[8\],
\[\dfrac{1}{8}yd = \dfrac{{36}}{8} = 4.5in\]

Note: We saw that if we have been given two different measurement units whose relation we do not know, we first convert a single standard unit to each of them. Then we just divide the two things with which we will get the direct relation of the two units and then we directly solve it.