Question

What is the difference between the largest and the smallest among the following:
$\frac{6}{5},1.5,\frac{6}{8}and1.87$

• A. 1.12
• B. 1.06
• C. 1.03
• D. 1.21

Answer 1

The correct option is A 1.12

Here, let us have each of them in decimals first
$\frac{6}{5}=\frac{6\times 2}{5\times 2}=\frac{12}{10}=1.2$
$\frac{6}{8}=\frac{6\times 25}{8\times 25}=\frac{150}{200}=\frac{75}{100}=0.75$
Now, we have :
1.2, 1.5, 0.75 and 1.87
1.87 is the largest and 0.75 is the smallest.
Required difference = 1.87 - 0.75 = 1.12