Question

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which is the most accurate way to estimate 74% of 94?
\\(\frac{1}{3} \times 97\\) \\(\frac{3}{4} \times 97\\) \\(\frac{3}{4} \times 92\\) \\(\frac{1}{3} \times 92\\)

Explanation:

Step1: Approximate 74% and 94

74% is close to 75% ($\frac{3}{4}$), and 94 is close to 92 (for easier calculation while still being relatively close).

Step2: Calculate the estimates

• For $\frac{1}{3}\times97\approx32.33$
• For $\frac{3}{4}\times97 = 72.75$
• For $\frac{3}{4}\times92=\frac{3\times92}{4}=69$
• For $\frac{1}{3}\times92\approx30.67$

The actual value of $74\%\text{ of }94=0.74\times94 = 69.56$

Answer:

The most accurate estimate is $\frac{3}{4}\times92$.