Question : What is the value of $\frac{5}{12} imes \frac{7}{12} \div\left(\frac{1}{75}+\frac{5}{12} ight.$ of $\left.\frac{36}{25} ight)+\frac{4}{5} imes \frac{75}{16} ?$
Option 1: $\frac{8305}{1104}$
Option 2: $\frac{4675}{1104}$
Option 3: $\frac{2565}{2208}$
Option 4: $\frac{9155}{2208}$

Question

Question : What is the value of $\frac{5}{12} imes \frac{7}{12} \div\left(\frac{1}{75}+\frac{5}{12} ight.$ of $\left.\frac{36}{25} ight)+\frac{4}{5} imes \frac{75}{16} ?$

Option 1: $\frac{8305}{1104}$

Option 2: $\frac{4675}{1104}$

Option 3: $\frac{2565}{2208}$

Option 4: $\frac{9155}{2208}$

Team Careers360 · Accepted Answer

Correct Answer: $\frac{9155}{2208}$

Solution : Given expression,
$\frac{5}{12} imes \frac{7}{12} \div\left(\frac{1}{75}+\frac{5}{12} ight.$ of $\left.\frac{36}{25} ight)+\frac{4}{5} imes \frac{75}{16}$
Using the BODMAS Rule,
B – Brackets, O – Of, D – Division, M – Multiplication A – Addition, and S – Subtraction
= $\frac{5}{12} imes\frac{7}{12}\div(\frac{1}{75}+\frac{5}{12} imes\frac{36}{25})+\frac{4}{5} imes\frac{75}{16}$
= $\frac{5}{12} imes\frac{7}{12}\div(\frac{1}{75}+\frac{5 imes3}{25})+\frac{4}{5} imes\frac{75}{16}$
= $\frac{5}{12} imes\frac{7}{12}\div(\frac{1}{75}+\frac{15}{25})+\frac{4}{5} imes\frac{75}{16}$
= $\frac{5}{12} imes\frac{7}{12}\div(\frac{1+45}{75})+\frac{4}{5} imes\frac{75}{16}$
= $\frac{5}{12} imes\frac{7}{12}\div\frac{46}{75}+\frac{4}{5} imes\frac{75}{16}$
= $\frac{5}{12} imes\frac{7}{12} imes\frac{75}{46}+\frac{4}{5} imes\frac{75}{16}$
= $\frac{5 imes7 imes25}{4 imes12 imes46}+\frac{15}{4}$
= $\frac{875}{2208}+\frac{15}{4}$
= $\frac{875+552 imes15}{2208}$
= $\frac{875+8280}{2208}$
= $\frac{9155}{2208}$
Hence, the correct answer is $\frac{9155}{2208}$.

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Question : What is the value of 512×712÷(175+512 of 3625)+45×7516?Option 1: 83051104Option 2: 46751104Option 3: 25652208Option 4: 91552208

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Question : What is the value of $\frac{5}{12} \times \frac{7}{12} \div (\frac{1}{75} + \frac{5}{12}$ of $\frac{36}{25}) + \frac{4}{5} \times \frac{75}{16} ?$
Option 1: $\frac{8305}{1104}$
Option 2: $\frac{4675}{1104}$
Option 3: $\frac{2565}{2208}$
Option 4: $\frac{9155}{2208}$