Which is the most accurate way to estimate 67% of 85? Choices: (A)1/2 × 82 (B)1/2 × 84 (C)2/3 × 84 (D)2/3 × 82

Convert to fraction: Convert 67% to a fraction for easier calculation. 67% is approximately 2/3, since 67 is close to 66.67, which is 2/3 in decimal form. Calculate 2/3 of 85: Calculate 2/3 of 85 to find the closest estimate. 2/3 × 85 = 56.67. Compare with choices: Compare the result with the given choices to find the closest match. - (A) 1/2 × 82 = 41 - (B) 1/2 × 84 = 42 - (C) 2/3 × 84 = 56 - (D) 2/3 × 82 = 54.67 Option (C) is the closest to our calculation of 56.67.

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Which is the most accurate way to estimate $67\%$ of $85$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{2} \times 82$ $\newline$ (B) $\frac{1}{2} \times 84$ $\newline$ (C) $\frac{2}{3} \times 84$ $\newline$ (D) $\frac{2}{3} \times 82$

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Math Problems

Grade 6

Estimate percents of numbers

Full solution

Q. Which is the most accurate way to estimate

67\%

85

\newline

Choices:

\newline

(A)

\frac{1}{2} \times 82

\newline

(B)

\frac{1}{2} \times 84

\newline

(C)

\frac{2}{3} \times 84

\newline

(D)

\frac{2}{3} \times 82

Convert to fraction: Convert $67\%$ to a fraction for easier calculation. $67\%$ is approximately $\frac{2}{3}$ , since $67$ is close to $66.67$ , which is $\frac{2}{3}$ in decimal form.
Calculate $\frac{2}{3}$ of $85$ : Calculate $\frac{2}{3}$ of $85$ to find the closest estimate. $\frac{2}{3} \times 85 = 56.67$ .
Compare with choices: Compare the result with the given choices to find the closest match. $\newline$ - (A) $\frac{1}{2} \times 82 = 41$ $\newline$ - (B) $\frac{1}{2} \times 84 = 42$ $\newline$ - (C) $\frac{2}{3} \times 84 = 56$ $\newline$ - (D) $\frac{2}{3} \times 82 = 54.67$ $\newline$ Option (C) is the closest to our calculation of $56.67$ .