Which is the most accurate way to estimate 24% of 57? Choices: (A)1/4 × 56 (B)2/3 × 56 (C)1/4 × 59 (D)2/3 × 59

Convert to fraction: Step 1: Convert 24% to a fraction for easier calculation. 24% is approximately 1/4, since 25% is exactly 1/4. Apply fraction to choices: Step 2: Apply the fraction 1/4 to the closest numbers in the choices, which are 56 and 59. Calculate 1/4 of 56 and 1/4 of 59. 1/4 × 56 = 14 1/4 × 59 = 14.75 Compare results with actual: Step 3: Compare these results with the actual 24% of 57. Calculate 24% of 57 directly. 24% of 57 = 0.24 × 57 = 13.68 Determine closest estimate: Step 4: Determine which of the calculated estimates (14 or 14.75) is closer to 13.68. 14 is closer to 13.68 than 14.75. Match closest estimate: Step 5: Match the closest estimate to the choices provided. The closest estimate, 14, comes from 1/4 × 56, which is choice (A).

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Math Problems

Grade 6

Estimate percents of numbers

Full solution

Q. Which is the most accurate way to estimate

24\%

57

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Choices:

\newline

(A)

\frac{1}{4} \times 56

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(B)

\frac{2}{3} \times 56

\newline

(C)

\frac{1}{4} \times 59

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(D)

\frac{2}{3} \times 59

Convert to fraction: Step $1$ : Convert $24\%$ to a fraction for easier calculation. $24\%$ is approximately $\frac{1}{4}$ , since $25\%$ is exactly $\frac{1}{4}$ .
Apply fraction to choices: Step $2$ : Apply the fraction $\frac{1}{4}$ to the closest numbers in the choices, which are $56$ and $59$ . Calculate $\frac{1}{4}$ of $56$ and $\frac{1}{4}$ of $59$ . $\newline$ $\frac{1}{4} \times 56 = 14$ $\newline$ $\frac{1}{4} \times 59 = 14.75$
Compare results with actual: Step $3$ : Compare these results with the actual $24\%$ of $57$ . Calculate $24\%$ of $57$ directly. $\newline$ $24\%$ of $57 = 0.24 \times 57 = 13.68$
Determine closest estimate: Step $4$ : Determine which of the calculated estimates ( $14$ or $14.75$ ) is closer to $13.68$ . $14$ is closer to $13.68$ than $14.75$ .
Match closest estimate: Step $5$ : Match the closest estimate to the choices provided. The closest estimate, $14$ , comes from $\frac{1}{4} \times 56$ , which is choice (A).