The difference between the largest and smallest fractions of (9/16) , (3/5) , (5/8) and (12/7) will be:

The difference between the largest and smallest fractions…

The difference between the largest and smallest fractions of $(\frac{9}{16})$ , $(\frac{3}{5})$ , $(\frac{5}{8})$ and $(1\frac{2}{7})$ will be:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. $\frac{81}{112}$

The largest fraction is $1\frac{2}{7}$ = $\frac{9}{7}$

To find the smallest of $\frac{9}{16}$ , $\frac{3}{5}$ , $\frac{5}{8}$

LCM of (16 , 5 , 8) = 80

⇒ $\frac{9}{16}$ = $\frac{45}{80}$

⇒ $\frac{3}{5}$ = $\frac{48}{80}$

⇒ $\frac{5}{8}$ = $\frac{50}{80}$

∴ The smallest of the three is $\frac{9}{16}$

Required difference = $\frac{9}{7} - \frac{9}{16}$ = $\frac{81}{112}$