Question

The smallest fraction which should be subtracted from the sum of $1\frac{3}{4},2\frac{1}{2},5\frac{7}{12},3\frac{1}{3}$ and $2\frac{1}{4}$ to make the result a whole number, is _______.

• A. $\frac{5}{12}$
• B. $\frac{7}{12}$
• C. $\frac{1}{2}$
• D. $7$

Answer 1

Answer: (A)

$\frac{5}{12}$

$\Rightarrow$ $1\frac{3}{4}+2\frac{1}{2}+5\frac{7}{12}+3\frac{1}{3}+2\frac{1}{4}$

$=\frac{7}{4}+\frac{5}{2}+\frac{67}{12}+\frac{10}{3}+\frac{9}{4}$

$=\frac{21+30+67+40+27}{12}$

$=\frac{185}{12}$

$=15\frac{5}{12}$

$\therefore$ The smallest fraction which should be subtracted from the sum of $1\frac{3}{4},2\frac{1}{2},5\frac{7}{12},3\frac{1}{3}$ and $2\frac{1}{4}$ to make the result a whole number is $\frac{5}{12}$.