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Evaluate:​1(56)+(24)÷429\frac{1}{(\frac{5}{6}) + (\frac{2}{4}) } \div \frac{4}{29}(65​)+(42​)1​÷294​​​
Question

Evaluate:

1(56)+(24)÷429\frac{1}{(\frac{5}{6}) + (\frac{2}{4}) } \div \frac{4}{29}​​

A.

55165\frac{5}{16}​​

B.

57165\frac{7}{16}​​

C.

5125\frac{1}{2}​​

D.

59165\frac{9}{16}​​

Correct option is B

Given:

1(56)+(24)÷429\frac{1}{(\frac{5}{6}) + (\frac{2}{4}) } \div \frac{4}{29} 

Solution:  

=1(56)+(24)÷429 =110+612÷429 =1216×294 =8716 =5716= \frac{1}{(\frac{5}{6}) + (\frac{2}{4}) } \div \frac{4}{29} \\\ \\= \frac{1}{\frac{10+6}{12}} \div \frac{4}{29}\\\ \\= \frac{12}{16}\times \frac{29}{4} \\\ \\= \frac{87}{16} \\\ \\=5 \frac{7}{16}


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