Question

What should be added to the following expression so that the sum is 1? \[ \frac{9}{4} \times \frac{7}{18} \text{ of } \frac{72}{49} - \frac{7}{5} \text{ of } \frac{5}{28} \times \frac{2}{5} + \frac{3}{4} \times 2 \div \frac{31}{7} - \frac{2}{3} \times 7 \times \frac{3}{10} \]

• A. 23
• B. 45
• C. 37
• D. 48

Hint:

When solving complex arithmetic expressions, break them down step by step and simplify each term to avoid errors in final calculations.

Answer 1

The Correct Option is C

Simplify the given expression step by step. First calculate each term:
1. \( \frac{9}{4} \times \frac{7}{18} = \frac{63}{72} = \frac{7}{8} \)
2. \( \frac{72}{49} = 1.47 \) (approx)
3. \( \frac{7}{5} \times \frac{5}{28} = \frac{7}{28} = \frac{1}{4} \)
4. \( \frac{3}{4} \times 2 \div \frac{31}{7} = \frac{3}{4} \times \frac{14}{31} = \frac{42}{124} = \frac{7}{31} \)
Now, calculate the total sum. Subtract and add as per the expression, and you will find that 37 needs to be added to make the total sum 1.
Thus, the correct answer is 37.