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Which fraction is about equal to $0.167$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{3}$ $\newline$ (B) $\frac{1}{8}$ $\newline$ (C) $\frac{1}{4}$ $\newline$ (D) $\frac{1}{6}$

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Theoretical probability

Full solution

Q. Which fraction is about equal to

0.167

?

\newline

Choices:

\newline

(A)

\frac{1}{3}

\newline

(B)

\frac{1}{8}

\newline

(C)

\frac{1}{4}

\newline

(D)

\frac{1}{6}

Convert to Fraction: Convert $0.167$ to a fraction by recognizing it as $\frac{167}{1000}$ . Simplify this fraction by finding the greatest common divisor (GCD) of $167$ and $1000$ , which is $1$ . So, $0.167$ as a fraction is $\frac{167}{1000}$ .
Compare with Choices: Compare $\frac{167}{1000}$ with each of the given choices to find the closest match. Start with $\frac{1}{3}$ , which is approximately $0.333$ .
Check $\frac{1}{8}$ : Next, check $\frac{1}{8}$ , which is $0.125$ . This is closer to $0.167$ than $\frac{1}{3}$ .
Check $\frac{1}{4}$ : Check $\frac{1}{4}$ , which is $0.25$ . This is further from $0.167$ compared to $\frac{1}{8}$ .
Check $\frac{1}{6}$ : Finally, check $\frac{1}{6}$ , which is approximately $0.1667$ . This is very close to $0.167$ .

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