Question
Download Solution PDFSimplify the given expression. 4 × 5 ÷ 4 of 5 × 4 ÷ (6 + 6 × 6 ÷ 6 of 6 - 6 ÷ 6 × 6)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
4 × 5 ÷ 4 of 5 × 4 ÷ (6 + 6 × 6 ÷ 6 of 6 - 6 ÷ 6 × 6)
Formula Used:
Order of operations (BODMAS/BIDMAS): Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication (left-to-right), Addition and Subtraction (left-to-right)
Calculation:
4 × 5 ÷ 4 of 5 × 4 ÷ (6 + 6 × 6 ÷ 6 of 6 - 6 ÷ 6 × 6)
⇒ 4 × 5 ÷ 4 of 5 × 4 ÷ (6 + 6 × 6 ÷ 36 - 6 ÷ 6 × 6)
⇒ 4 × 5 ÷ 4 of 5 × 4 ÷ (6 + 6 × 1/6 - 6 ÷ 6 × 6)
⇒ 4 × 5 ÷ 4 of 5 × 4 ÷ (6 + 1 - 6)
⇒ 4 × 5 ÷ 4 of 5 × 4 ÷ 1
⇒ 4 × 5 ÷ 20 × 4 ÷ 1
⇒ 4 × 1/4 × 4 ÷ 1
⇒ 1 × 4 ÷ 1
⇒ 4 ÷ 6
⇒ 4
∴ The correct answer is option 2.
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