Which is the most accurate way to estimate 75% of 47? Choices: (A)1/4 × 48 (B)1/3 × 48 (C)2/3 × 48 (D)3/4 × 48

Identify percentage calculation: Identify the percentage we need to calculate, which is 75% of 47. Convert percentage to fraction: Convert 75% to a fraction for easier calculation with the choices. 75% equals 3/4. Match fraction with choice: Match the fraction 3/4 with the closest choice. Choice (D) is 3/4 × 48. Calculate estimated value: Calculate 3/4 of 48 to verify the accuracy of the estimation. (3/4) × 48 = 36. Compare estimation with actual value: Compare the result with the actual 75% of 47. 75% of 47 is 35.25. The estimation gives us 36, which is very close.

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Which is the most accurate way to estimate $75\%$ of $47$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{4} \times 48$ $\newline$ (B) $\frac{1}{3} \times 48$ $\newline$ (C) $\frac{2}{3} \times 48$ $\newline$ (D) $\frac{3}{4} \times 48$

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Math Problems

Grade 7

Estimate percents of numbers

Full solution

Q. Which is the most accurate way to estimate

75\%

47

\newline

Choices:

\newline

(A)

\frac{1}{4} \times 48

\newline

(B)

\frac{1}{3} \times 48

\newline

(C)

\frac{2}{3} \times 48

\newline

(D)

\frac{3}{4} \times 48

Identify percentage calculation: Identify the percentage we need to calculate, which is $75\%$ of $47$ .
Convert percentage to fraction: Convert $75\%$ to a fraction for easier calculation with the choices. $75\%$ equals $\frac{3}{4}$ .
Match fraction with choice: Match the fraction $\frac{3}{4}$ with the closest choice. Choice (D) is $\frac{3}{4} \times 48$ .
Calculate estimated value: Calculate $\frac{3}{4}$ of $48$ to verify the accuracy of the estimation. $(\frac{3}{4}) \times 48 = 36$ .
Compare estimation with actual value: Compare the result with the actual $75\%$ of $47$ . $75\%$ of $47$ is $35.25$ . The estimation gives us $36$ , which is very close.