Question

$4\frac{2}{5}+5\frac{1}{4}+8\frac{2}{3}+3\frac{1}{2}=?$

• A. $\frac{1309}{16}$
• B. $\frac{1309}{14}$
• C. $20\frac{49}{60}$
• D. $29\frac{49}{60}$
  

Answer 1

The correct option is D $29\frac{49}{60}$


$4\frac{2}{5}+5\frac{1}{4}+8\frac{2}{3}+3\frac{1}{2}=(4+5+8+3)+$
$(\frac{2}{5}+\frac{1}{4}+\frac{2}{3}+\frac{1}{2})$

$=20+\frac{2\times 12}{5\times 12}+\frac{1\times 15}{4\times 15}+\frac{2\times 20}{3\times 20}+\frac{1\times 30}{2\times 30}$

$=20+\frac{24}{60}+\frac{15}{60}+\frac{40}{60}+\frac{30}{60}$

$=20+\frac{109}{60}$

$=\frac{1200+109}{60}=\frac{1309}{60}=29\frac{49}{60}$