Question

How many pounds are $ 4\dfrac{5}{8} $ tons?

Answer 1

Hint: In order to answer this question, one should be familiar with the concept of weight conversion from tons to pounds and vice versa. One should also know that the value of tons is different according to the US and UK metric system and hence has two values in pounds.

Complete step-by-step answer:
Given to us is a mixed fraction. Let us first convert this into a proper fraction.
This can be written as
 $ 4\dfrac{5}{8} = \dfrac{{4 \times 8 + 5}}{8} = \dfrac{{37}}{8} $
Now let us write the value of one ton in the US pounds and the UK pounds.
Generally, $ 1 $ ton $ = 2000 $ pounds according to the US metric system and
 $ 1 $ ton $ = 2240 $ according to the UK metric system.
Let us find the pound value of the given fraction in the US.
One ton is equal to $ 2000 $ pounds in the US and hence $ \dfrac{{37}}{8} $ ton would be equal to $ \dfrac{{37}}{8} \times 2000 $ pounds.
We can now solve this to get $ 9,250 $ pounds.
 Similarly, let us find the pound value of the given fraction is the UK.
One ton is equal to $ 2240 $ pounds in the UK and hence $ \dfrac{{37}}{8} $ ton would be equal to $ \dfrac{{37}}{8} \times 2240 $ pounds.
By solving this we get $ 10,360 $ pounds.
Hence, $ \dfrac{{37}}{8} $ tons are equal to $ 9,250 $ pounds in the US and $ 10,360 $ pounds in the UK.
So, the correct answer is “ $ \dfrac{{37}}{8} $ tons are equal to $ 9,250 $ pounds in the US and $ 10,360 $ pounds in the UK.”.

Note: It is to be noted that one should always mention the units of the measurements. The metric system is a measuring system based on length, litre, capacity, weight or mass etc. Different countries use different metric systems and based on this, the conversions or measurements of a quantity are done.