Question

Which of the following rational number between 3/7 and 7/8 ?

Answer 1

Answer:

Step-by-step explanation:

There are two ways to do this. You could use your calculator to find out the decimal numbers that are equivalent to the two given fractions. Then check which one of the givens falls between these two numbers. I wouldn't do it that way -- not when you are told that the answer has 56 as the denominator.  So ...

The best way to do it is to change the two givens so that they have a denominator of 56

3/7 = 3*8/7*8 = 24 / 56

7*7 / 7*8 = 49 / 46

So you need a number that is between 49 and 24

There is only one 27 / 56