Question

How many yards are in $ \left( {\dfrac{3}{4}} \right) $ of a mile ?

Answer 1

Hint: Here this question belongs to the conversion topic that is we have to convert the unit from one form to another. Here we have to convert the unit miles to the unit yards. In the question, we have to find what number of yards correspond to $ \left( {\dfrac{3}{4}} \right) $ of a mile.

Complete step-by-step answer:
The yards and miles are the units to measure the length of physical commodities or items. A yard is abbreviated as yd and mile is abbreviated as mi. A yard is a metric unit of length and it is used for measuring small lengths as compared to miles.
The given question requires us to convert the unit of length. We have to convert $ \left( {\dfrac{3}{4}} \right) $ of a mile into yards.
We know that each mile of length consists of $ 1760 $ yards. So,
 $ 1\;mi = 1760\;yds $ .
Let the number of yards that correspond to $ \left( {\dfrac{3}{4}} \right) $ of a mile be x.
Then, to convert $ \left( {\dfrac{3}{4}} \right) $ of a mile into yards, we follow unitary method where we first find that how many units of yards correspond to a single unit of \;mile and then multiply both sides of the equation by a suitable number so as to get the desired conversion of $ \left( {\dfrac{3}{4}} \right) $ of a mile.
So, $ 1\;mi = 1760\;yds $ .
Hence, $ \dfrac{3}{4}\;mi = \left( {\dfrac{3}{4} \times 1760} \right)\;yds $
So, $ \dfrac{3}{4}\;mi = \left( {3 \times 440} \right)\;yds $
Therefore, $ \dfrac{3}{4}\;mi = 1320\;yds $
Hence, we have converted $ \left( {\dfrac{3}{4}} \right) $ of a mile into yards.
So, the correct answer is “ $ 1320\;yds $ ”.

Note: We have different units for solid quantity, liquid quantity and gaseous quantity. Every quantity has a measurement unit from the low quantity to the high quantity. While converting the unit of a quantity from one form to another form we have standard value. By multiplying or dividing we can convert the unit of the quantity. We have a different system of measurement of a quantity.