Which sign makes the statement true? 3 1/12 ? 4 3/6 Choices: (A)> (B)< (C)=

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier comparison. 3 1/12 = (3 * 12 + 1)/12 = 37/12 4 3/6 = (4 * 6 + 3)/6 = 27/6 = 9/2Find Common Denominator: Convert 9/2 to a fraction with a common denominator with 37/12. 9/2 = (9 * 6)/(2 * 6) = 54/12Compare Fractions: Compare the two fractions. 37/12 ? 54/12 Since 37/12 is less than 54/12, the correct sign is <.

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Which sign makes the statement true? $\newline$ $3\frac{1}{12}\,?\,4\frac{3}{6}$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Math Problems

Grade 7

Compare rational numbers

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Q. Which sign makes the statement true?

\newline

3\frac{1}{12}\,?\,4\frac{3}{6}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier comparison. $\newline$ $3 \frac{1}{12} = (3 \times 12 + 1)/12 = \frac{37}{12}$ $\newline$ $4 \frac{3}{6} = (4 \times 6 + 3)/6 = \frac{27}{6} = \frac{9}{2}$
Find Common Denominator: Convert $\frac{9}{2}$ to a fraction with a common denominator with $\frac{37}{12}$ . $\newline$ $\frac{9}{2} = \left(\frac{9 \times 6}{2 \times 6}\right) = \frac{54}{12}$
Compare Fractions: Compare the two fractions. $\frac{37}{12} ? \frac{54}{12}$ Since $\frac{37}{12}$ is less than $\frac{54}{12}$ , the correct sign is <.