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The value of 514×1475÷711 of 215 \frac{5}{14} \times \frac{14}{\frac{7}{5} \div \frac{7}{11} \text{ of } 2\frac{1}{5}}145​×57​÷117​ of&
Question

The value of 514×1475÷711 of 215 \frac{5}{14} \times \frac{14}{\frac{7}{5} \div \frac{7}{11} \text{ of } 2\frac{1}{5}}​is:

A.

1/5

B.

5

C.

5/14

D.

1

Correct option is B

Given

Expression =514×1475÷711 of 215 \frac{5}{14} \times \frac{14}{\frac{7}{5} \div \frac{7}{11} \text{ of } 2\frac{1}{5}}​​
Formula Used
BODMAS Rule (Brackets, Of, Division, Multiplication, Addition, Subtraction)

Solution:
514×1475÷711 of 215 =514×1475÷711×115 =514×1475÷7755 =514×1475÷75 =514×141 =514×14 =5\frac{5}{14}\times\frac{14}{\frac{7}{5}\div\frac{7}{11}\text{ of }2\frac{1}{5}}\\\ \\=\frac{5}{14}\times\frac{14}{\frac{7}{5}\div\frac{7}{11}\times\frac{11}{5}}\\\ \\=\frac{5}{14}\times\frac{14}{\frac{7}{5}\div\frac{77}{55}}\\\ \\=\frac{5}{14}\times\frac{14}{\frac{7}{5}\div\frac{7}{5}}\\\ \\=\frac{5}{14}\times\frac{14}{1}\\\ \\=\frac{5}{14}\times14\\\ \\=5\\[8pt]​​

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