Which fraction is about equal to 0.111? Choices: (A)1/9 (B)1/10 (C)1/4 (D)1/3

Convert to fraction: Step 1: Convert 0.111 to a fraction by recognizing it as 111/1000. Simplify fraction: Step 2: Simplify the fraction 111/1000. The greatest common divisor (GCD) of 111 and 1000 is 1, so the fraction simplifies to 111/1000. Compare with choices: Step 3: Compare 111/1000 with the given choices. Convert each choice to decimal for easier comparison: (A) 1/9 ≈ 0.111 (B) 1/10 = 0.1 (C) 1/4 = 0.25 (D) 1/3 ≈ 0.333 Identify closest decimal: Step 4: Identify which decimal is closest to 0.111. The closest is 0.111 from choice (A) 1/9.

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Which fraction is about equal to $0.111$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{9}$ $\newline$ (B) $\frac{1}{10}$ $\newline$ (C) $\frac{1}{4}$ $\newline$ (D) $\frac{1}{3}$

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Math Problems

Grade 6

Convert between fractions and repeating decimals

Full solution

Q. Which fraction is about equal to

0.111

\newline

Choices:

\newline

(A)

\frac{1}{9}

\newline

(B)

\frac{1}{10}

\newline

(C)

\frac{1}{4}

\newline

(D)

\frac{1}{3}

Convert to fraction: Step $1$ : Convert $0.111$ to a fraction by recognizing it as $\frac{111}{1000}$ .
Simplify fraction: Step $2$ : Simplify the fraction $\frac{111}{1000}$ . The greatest common divisor (GCD) of $111$ and $1000$ is $1$ , so the fraction simplifies to $\frac{111}{1000}$ .
Compare with choices: Step $3$ : Compare $\frac{111}{1000}$ with the given choices. Convert each choice to decimal for easier comparison: $\newline$ (A) $\frac{1}{9} \approx 0.111$ $\newline$ (B) $\frac{1}{10} = 0.1$ $\newline$ (C) $\frac{1}{4} = 0.25$ $\newline$ (D) $\frac{1}{3} \approx 0.333$
Identify closest decimal: Step $4$ : Identify which decimal is closest to $0.111$ . The closest is $0.111$ from choice (A) $\frac{1}{9}$ .