Express as a decimal : { ( Rs. 37.25 + Rs. 2.30 ) / ( Rs. 12.67 − Rs. 4.76 ) }…

When an expression mixes brackets, subtraction, division, and multiplication, the order of operations (BODMAS) requires every bracket to be reduced first — evaluating each numerator and denominator to full decimal precision — before any multiplier is applied or the final combination is carried out. A compound money expression built from several brackets must be resolved bracket by bracket, in the sequence the brackets appear, never by combining raw figures across different brackets.

1. Evaluate the first bracket's numerator: Rs. 37.25 + Rs. 2.30 = Rs. 39.55.

2. Evaluate the first bracket's denominator: Rs. 12.67 − Rs. 4.76 = Rs. 7.91.

3. Divide to get the first term: Rs. 39.55 ÷ Rs. 7.91 = 5.

4. Evaluate the second bracket's numerator: Rs. 30.45 − Rs. 1.20 = Rs. 29.25.

5. Evaluate the second bracket's denominator: Rs. 9.58 − Rs. 6.33 = Rs. 3.25.

6. Divide to get the second bracket's quotient: Rs. 29.25 ÷ Rs. 3.25 = 9.

7. Multiply this quotient by (1/10): 9 × (1/10) = 0.9.

8. Subtract the second term from the first term: 5 − 0.9 = 4.1.

Checking backward confirms every step: Rs. 7.91 × 5 = Rs. 39.55, which matches the first bracket's numerator, and Rs. 3.25 × 9 = Rs. 29.25, which matches the second bracket's numerator; adding the second term back, Rs. 4.10 + Rs. 0.90 = Rs. 5.00, the first bracket's quotient. So the expression evaluates to Rs. 4.10.