Question

5
13
Divide the sum of 5/8 and 13/12
by the product of
2/3 and 27/8


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Answer 1

Answer: Sum: 5/8 + 13/12

= 15 + 26/24

= 41/24

Product: 2/3 × 27/8

= 9/4

Division: 41/24 ÷ 9/4

= 41/24 × 4/9

= 41/54

Answer 2

$(\frac{5}{8} +\frac{13}{12})/(\frac{2}{3} * \frac{27}{8} )$

Sum ⇒ $\frac{5}{8} +\frac{13}{12}$

LCM ⇒ 24

$\frac{15}{24} +\frac{26}{24} = \frac{41}{24}$

Product ⇒ $\frac{2}{3} *\frac{27}{8}$ = $\frac{9}{4}$

Division ⇒ $\frac{41}{24}/\frac{9}{4}$

⇒$\frac{41}{24}*\frac{4}{9}$ = $\frac{41}{54}$

∴ When we divide the sum of $\frac{5}{8}$ and $\frac{13}{12}$ by the product of  $\frac{2}{3}$ and $\frac{27}{8}$ we get $\frac{41}{54}$.