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The value of =5/8div (8/11xx2 (3)/(4)div...

The value of =`5/8div (8/11xx2 (3)/(4)div4/9)+5(1)/(3) div (5(1)/(4)div3/8xx3/7)` of 1`7/9` is :

A

`1/2`

B

`1/4`

C

`23/36`

D

`5/18`

Text Solution

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The correct Answer is:
To solve the expression \( \frac{5}{8} \div \left( \frac{8}{11} \times 2 \div \frac{3}{4} \div \frac{4}{9} \right) + 5 \frac{1}{3} \div \left( 5 \frac{1}{4} \div \frac{3}{8} \times \frac{3}{7} \right) \) and find its value of \( 1 \frac{7}{9} \), we will break it down step by step. ### Step 1: Convert Mixed Numbers to Improper Fractions Convert \( 5 \frac{1}{3} \) and \( 5 \frac{1}{4} \) to improper fractions. - \( 5 \frac{1}{3} = \frac{5 \times 3 + 1}{3} = \frac{15 + 1}{3} = \frac{16}{3} \) - \( 5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{20 + 1}{4} = \frac{21}{4} \)
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