Which is the most accurate way to estimate 73% of 26? Choices: (A)3/4 × 24 (B)2/3 × 24 (C)3/4 × 22 (D)2/3 × 22

Convert to decimal: First, convert 73% to a decimal for easier calculation: 73% = 0.73. Calculate 73% of 26: Next, calculate 73% of 26 directly: 0.73 × 26 = 18.98. This is our target value to compare with the choices. Evaluate each choice: Now, evaluate each choice: (A) 3/4 × 24 = 0.75 × 24 = 18 (B) 2/3 × 24 = 0.67 × 24 = 16.08 (C) 3/4 × 22 = 0.75 × 22 = 16.5 (D) 2/3 × 22 = 0.67 × 22 = 14.74 Compare with target value: Compare the results from the choices with our target value (18.98): Choice (A) 18 is closest to 18.98.

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Which is the most accurate way to estimate $73\%$ of $26$ ? $\newline$ Choices: $\newline$ (A) $\frac{3}{4} \times 24$ $\newline$ (B) $\frac{2}{3} \times 24$ $\newline$ (C) $\frac{3}{4} \times 22$ $\newline$ (D) $\frac{2}{3} \times 22$

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Math Problems

Grade 6

Estimate percents of numbers

Full solution

Q. Which is the most accurate way to estimate

73\%

26

\newline

Choices:

\newline

(A)

\frac{3}{4} \times 24

\newline

(B)

\frac{2}{3} \times 24

\newline

(C)

\frac{3}{4} \times 22

\newline

(D)

\frac{2}{3} \times 22

Convert to decimal: First, convert $73\%$ to a decimal for easier calculation: $73\% = 0.73$ .
Calculate $73\%$ of $26$ : Next, calculate $73\%$ of $26$ directly: $0.73 \times 26 = 18.98$ . This is our target value to compare with the choices.
Evaluate each choice: Now, evaluate each choice: $\newline$ (A) $\frac{3}{4} \times 24 = 0.75 \times 24 = 18$ $\newline$ (B) $\frac{2}{3} \times 24 = 0.67 \times 24 = 16.08$ $\newline$ (C) $\frac{3}{4} \times 22 = 0.75 \times 22 = 16.5$ $\newline$ (D) $\frac{2}{3} \times 22 = 0.67 \times 22 = 14.74$
Compare with target value: Compare the results from the choices with our target value $18.98$ : Choice (A) $18$ is closest to $18.98$ .