What is the result of (25 ÷ 1/5) - 4?

What is the result of (25 ÷ 1/5) - 4?

• A. 122
• B. 24
• C. 20
• D. 121

Answer: (D)

To solve the expression (25 ÷ 1/5) - 4, begin by focusing on the division part of the expression, 25 ÷ 1/5. Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, dividing by 1/5 can be rewritten as multiplying by 5. So, the calculation becomes: 25 ÷ 1/5 = 25 × 5 = 125. Next, we take the result of that division, which is 125, and subtract 4 from it: 125 - 4 = 121. Therefore, the result of the entire expression (25 ÷ 1/5) - 4 is 121. This demonstrates the importance of understanding the operation of division by a fraction and ensures the arithmetic is carried out correctly. The correct answer aligns with this calculated result.

To solve the expression (25 ÷ 1/5) - 4, begin by focusing on the division part of the expression, 25 ÷ 1/5. Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, dividing by 1/5 can be rewritten as multiplying by 5.

So, the calculation becomes:

25 ÷ 1/5 = 25 × 5 = 125.

Next, we take the result of that division, which is 125, and subtract 4 from it:

125 - 4 = 121.

Therefore, the result of the entire expression (25 ÷ 1/5) - 4 is 121. This demonstrates the importance of understanding the operation of division by a fraction and ensures the arithmetic is carried out correctly. The correct answer aligns with this calculated result.