Which fraction is greater? Choices: (A)1/5 (B)1/12

Compare Denominators: Compare the denominators of 1/5 and 1/12. Since 5 is less than 12, 1/5 has fewer parts making each part larger. Find Common Denominator: To confirm, find a common denominator and compare the equivalent fractions. Common denominator of 5 and 12 is 60. Convert 1/5 and 1/12 to fractions with this common denominator: 1/5 = (1*12)/(5*12) = 12/60, 1/12 = (1*5)/(12*5) = 5/60. Compare Equivalent Fractions: Now compare 12/60 and 5/60. Since 12 is greater than 5, 12/60 is greater than 5/60.

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Math Problems

Grade 7

Compare and order fractions

Full solution

Q. Which fraction is greater?

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Choices:

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(A)

\frac{1}{5}

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(B)

\frac{1}{12}

Compare Denominators: Compare the denominators of $\frac{1}{5}$ and $\frac{1}{12}$ . Since $5$ is less than $12$ , $\frac{1}{5}$ has fewer parts making each part larger.
Find Common Denominator: To confirm, find a common denominator and compare the equivalent fractions. Common denominator of $5$ and $12$ is $60$ . Convert $\frac{1}{5}$ and $\frac{1}{12}$ to fractions with this common denominator: $\newline$ $\frac{1}{5} = \frac{(1\times12)}{(5\times12)} = \frac{12}{60}$ , $\newline$ $\frac{1}{12} = \frac{(1\times5)}{(12\times5)} = \frac{5}{60}$ .
Compare Equivalent Fractions: Now compare $\frac{12}{60}$ and $\frac{5}{60}$ . Since $12$ is greater than $5$ , $\frac{12}{60}$ is greater than $\frac{5}{60}$ .