Which is the most accurate way to estimate 34% of 53? Choices: (A)1/3 × 54 (B)2/3 × 54 (C)1/2 × 52 (D)3/4 × 52

Convert to fraction: Step 1: Convert 34% to a fraction for easier comparison with the choices. 34% = 34/100 = 17/50, Compare fractions: Step 2: Compare the fraction 17/50 with the fractions in each choice to see which is closest. (A) 1/3 of 54 = 54/3 = 18 (B) 2/3 of 54 = (2 × 54)/3 = 36 (C) 1/2 of 52 = 52/2 = 26 (D) 3/4 of 52 = (3 × 52)/4 = 39, Calculate percentage: Step 3: Calculate 34% of 53 to find the exact value. 34% of 53 = (34/100) × 53 = 18.02, Determine closest value: Step 4: Determine which choice is closest to 18.02. Comparing 18 (Choice A), 36 (Choice B), 26 (Choice C), and 39 (Choice D) with 18.02 shows that 18 is the closest value,

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Math Problems

Grade 6

Estimate percents of numbers

Full solution

Q. Which is the most accurate way to estimate

34\%

53

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Choices:

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(A)

\frac{1}{3} \times 54

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(B)

\frac{2}{3} \times 54

\newline

(C)

\frac{1}{2} \times 52

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(D)

\frac{3}{4} \times 52

Convert to fraction: Step $1$ : Convert $34\%$ to a fraction for easier comparison with the choices. $\newline$ $34\% = \frac{34}{100} = \frac{17}{50}$ ,
Compare fractions: Step $2$ : Compare the fraction $\frac{17}{50}$ with the fractions in each choice to see which is closest. $\newline$ (A) $\frac{1}{3}$ of $54 = \frac{54}{3} = 18$ $\newline$ (B) $\frac{2}{3}$ of $54 = \left(2 \times 54\right)/3 = 36$ $\newline$ (C) $\frac{1}{2}$ of $52 = \frac{52}{2} = 26$ $\newline$ (D) $\frac{3}{4}$ of $$52$ = \left($3$ \times $52$\right)/$4$ = $39$,
Calculate percentage: Step $3$: Calculate $34\%$ of $53$ to find the exact value.$\newline$$34\%$ of $53$ = $(\frac{34}{100}) \times 53 = 18.02,$
Determine closest value: Step $4$: Determine which choice is closest to $18.02$. Comparing $18$ (Choice A), $36$ (Choice B), $26$ (Choice C), and $39$ (Choice D) with $18.02$ shows that $18$ is the closest value,