Which is the most accurate way to estimate 24% of 26? Choices: (A)2/3 × 27 (B)1/4 × 24 (C)3/4 × 24 (D)1/3 × 27

Understand the problem: Step 1: Understand the problem. We need to find which option best estimates 24% of 26. Calculate percentage: Step 2: Calculate 24% of 26 directly for comparison. 24% of 26 = 0.24 × 26 = 6.24. Evaluate choices: Step 3: Evaluate each choice to see which is closest to 6.24. (A) 2/3 × 27 = (2/3) × 27 = 18. Compare results: Step 4: Compare the results. Option (B) 1/4 × 24 = 6 is the closest to the actual value 6.24.

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Which is the most accurate way to estimate $24\%$ of $26$ ? $\newline$ Choices: $\newline$ (A) $\frac{2}{3} \times 27$ $\newline$ (B) $\frac{1}{4} \times 24$ $\newline$ (C) $\frac{3}{4} \times 24$ $\newline$ (D) $\frac{1}{3} \times 27$

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Math Problems

Grade 6

Estimate percents of numbers

Full solution

Q. Which is the most accurate way to estimate

24\%

26

\newline

Choices:

\newline

(A)

\frac{2}{3} \times 27

\newline

(B)

\frac{1}{4} \times 24

\newline

(C)

\frac{3}{4} \times 24

\newline

(D)

\frac{1}{3} \times 27

Understand the problem: Step $1$ : Understand the problem. We need to find which option best estimates $24\%$ of $26$ .
Calculate percentage: Step $2$ : Calculate $24\%$ of $26$ directly for comparison. $24\%$ of $26 = 0.24 \times 26 = 6.24$ .
Evaluate choices: Step $3$ : Evaluate each choice to see which is closest to $6.24$ .
(A) $\frac{2}{3} \times 27 = \left(\frac{2}{3}\right) \times 27 = 18$ .
Compare results: Step $4$ : Compare the results. Option (B) $\frac{1}{4} \times 24 = 6$ is the closest to the actual value $6.24$ .