Calculate the value of the expression: 4 (1/6) ÷ 25 × 75 ÷ (1/5) of 125.

Question

Accepted Answer

Step 1: Convert mixed fraction 4 (1/6) to improper fraction.
4 (1/6) = 4 + 1/6 = (24/6) + (1/6) = 25/6

Step 2: Calculate (1/5) of 125.
(1/5) × 125 = 125/5 = 25

Step 3: Substitute values into the expression:
(25/6) ÷ 25 × 75 ÷ 25

Step 4: Perform division and multiplication from left to right:
(25/6) ÷ 25 = (25/6) × (1/25) = 1/6

Now expression is:
(1/6) × 75 ÷ 25

Step 5: Multiply (1/6) × 75 = 75/6 = 25/2

Step 6: Divide 25/2 ÷ 25 = (25/2) × (1/25) = 1/2

Step 7: Final value is 1/2.

Rechecking the steps shows the final answer is 1/2, but the options given are fractions less than 1/2 except 1/2 itself.

Re-examining step 6:
25/2 ÷ 25 = (25/2) × (1/25) = 1/2

So the final answer is 1/2.

Therefore, the correct option is 4: 1/2.

Answer

Answer

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