Question

22. One kilometer is approximately 0.62 mile. What fraction represents this length?

What’s the answer ..?

Answer 1

One kilometer is
`(31)/(50)` miles

Step-by-step explanation:

To convert a decimal to a fraction:

1- Write the decimal as a fraction whose denominator is 1

2- Multiply both numerator and denominator by multiples of 10 to eliminate the decimal point

3- Simplify the fraction you have

Now, for the given problem:

The given decimal is 0.62, following the above steps:

Step 1:

`0.62 = (0.62)/(1)`

Step 2:

We have two digits after the decimal point, so to eliminate the decimal point, we will multiply the numerator and the denominator by 100

`0.62 = (0.62)/(1) * (100)/(100) = (62)/(100)`

Step 3:

We can note that, in the fraction obtained from step 2, both the numerator and the denominator are divisible by 2, so we simplify as follows:

`(62)/(100) = (62/2)/(100/2) =(31)/(50)`

Hope this helps :)