Simplification Ques 22

Question-

$3 \frac{6}{7}-6 \frac{1}{4}+5 \frac{1}{3}=$ ?

(1) $1 \frac{65}{84}$

(2) $8 \frac{1}{84}$

(3) $2 \frac{79}{84}$

(4) $4 \frac{70}{84}$

(5) None of these

Show Answer

Correct Answer: (3)

Solution: (3)

$?=3+\frac{6}{7}-6-\frac{1}{4}+5+\frac{1}{3}$

$=(3-6+5)+\left(\frac{6}{7}-\frac{1}{4}+\frac{1}{3}\right)$

$=2+\left(\frac{72-21+28}{84}\right)$

$=2+\frac{79}{84}=2 \frac{79}{84}$