Simplify the following expression. 11 of 7 + 125 ÷ 5 + 99 ÷ 11 × 7 − 17 of 7 + 7 × 6 - (91 ÷ 7 + 7 × 5)
40
To simplify the given expression, we need to follow the BODMAS/BIDMAS rule, which stands for:
- Brackets
- Orders (i.e., powers and roots, etc.)
- Division and Multiplication (left to right)
- Addition and Subtraction (left to right)
Let's simplify the given expression step by step:
The given expression is: \(11 \text{ of } 7 + \frac{125}{5} + \frac{99}{11} \times 7 - 17 \text{ of } 7 + 7 \times 6 - \left(\frac{91}{7} + 7 \times 5\right)\)
- First, resolve the expressions inside the brackets:
- \(\frac{91}{7} = 13\)
- \(7 \times 5 = 35\)
- So, \(\left(\frac{91}{7} + 7 \times 5\right) = 13 + 35 = 48\)
- Now, we will simplify the rest of the expression:
- \(11 \text{ of } 7 = 11 \times 7 = 77\)
- \(\frac{125}{5} = 25\)
- \(\frac{99}{11} \times 7 = 9 \times 7 = 63\)
- \(17 \text{ of } 7 = 17 \times 7 = 119\)
- \(7 \times 6 = 42\)
- Substitute these back into the expression:
- \(77 + 25 + 63 - 119 + 42 - 48\)
- Simplify step-by-step:
- Addition: \(77 + 25 + 63 + 42 = 207\)
- Subtraction: \(207 - 119 - 48 = 40\)
Thus, the simplified result of the expression is 40, which makes option 40 the correct answer.
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Important Questions from Bodmas Rule
The value of 30 ÷ 6 × 5 of (2 + 3) - 12(3 × 2) is equal to:
solve the following:
523 + 523 × 523 ÷ 523
The value of 96 - 4 of (18 - 13) + 4 × 7 is:
Find the value of 45 - 3 × (4 of 6 + 12 ÷ 3 × 6 - 4 × 5) + 6.
What is the value of
5 ÷ 10 of 10 × 4 + 4 ÷ 4 of 4 × 10 + (10 - 4) ÷ 16 × 4?
