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Using the rule of BODMAS, solve the problems below: 1/2 of 120 divided by (1/5 of 100)

Mathematics

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Answer

3

Step-by-step solution

3 steps

1. i) Using the rule of BODMAS, solve the problems below.

The problem is:

12 of 120÷(15 of 100)\frac{1}{2} \text{ of } 120 \div \left(\frac{1}{5} \text{ of } 100\right)
  1. Solve the operations inside the brackets first.

    The "of" operation means multiplication.
    Calculate 15 of 100\frac{1}{5} \text{ of } 100:

    15×100=1005=20\frac{1}{5} \times 100 = \frac{100}{5} = 20

    The expression becomes:

    12 of 120÷20\frac{1}{2} \text{ of } 120 \div 20
  2. Perform the remaining "of" operation.

    Calculate 12 of 120\frac{1}{2} \text{ of } 120:

    12×120=1202=60\frac{1}{2} \times 120 = \frac{120}{2} = 60

    The expression becomes:

    60÷2060 \div 20
  3. Perform the division.

    60÷20=360 \div 20 = 3

    The final answer is:

    33
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