Question

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which is the most accurate way to estimate 22% of 28?
\\(\frac{7}{10} \times 30\\) \\(\frac{2}{5} \times 30\\) \\(\frac{3}{4} \times 30\\) \\(\frac{1}{5} \times 30\\)

Explanation:

Step1: Convert 22% to fraction

22% is equal to $\frac{22}{100}=\frac{11}{50}\approx\frac{1}{5}$ (since $\frac{1}{5} = 0.2$ and $\frac{11}{50}=0.22$ which is close to 0.2). Also, 28 is approximated to 30 for estimation.

Step2: Analyze each option

• Option 1: $\frac{7}{10}=0.7$, not close to 0.22.
• Option 2: $\frac{2}{5} = 0.4$, not close to 0.22.
• Option 3: $\frac{3}{4}=0.75$, not close to 0.22.
• Option 4: $\frac{1}{5}=0.2$, which is the closest to 0.22 among the given fractions. And we use 30 as an approximation for 28. So $\frac{1}{5}\times30$ is the most accurate estimation for 22% of 28.

Answer:

$\frac{1}{5} \times 30$ (the fourth option)