Question

What is the difference in the greatest and the least fractions out of $\frac{6}{7},\frac{7}{8},\frac{8}{9}$ and $\frac{9}{10}$ ?

• A. $\frac{3}{70}$
• B. $\frac{1}{56}$
• C. $\frac{1}{40}$
• D. $\frac{1}{72}$

Answer 1

The correct option is A $\frac{3}{70}$

$\frac{6}{7}=0.857,\frac{7}{8}=0.875,\frac{8}{9}=0.888,\frac{9}{10}=0.9$

$\therefore$ Required Difference $=\frac{9}{10}-\frac{6}{7}$

$=\frac{63-60}{70}$

$=\frac{3}{70}$