Which sign makes the statement true? 9 4/12 ? 9 1/3 Choices: (A)> (B)< (C)=

Convert to Improper Fractions: Convert mixed numbers to improper fractions to simplify comparison. 9 4/12 = (9 * 12 + 4) / 12 = 112/12 9 1/3 = (9 * 3 + 1) / 3 = 28/3Find Common Denominator: Find a common denominator to compare the fractions. Common denominator for 12 and 3 is 12. Convert 28/3 to a fraction with denominator 12: 28/3 = (28 * 4) / (3 * 4) = 112/12Compare Fractions: Compare the two fractions now that they have the same denominator. 112/12 ? 112/12 Since both fractions are equal, the correct sign is ＂=＂.

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Which sign makes the statement true? $\newline$ $9\frac{4}{12}$ $\text{?}$ $9\frac{1}{3}$ $\newline$ 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

9\frac{4}{12}

\text{?}

9\frac{1}{3}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Convert to Improper Fractions: Convert mixed numbers to improper fractions to simplify comparison. $\newline$ $9 \frac{4}{12} = (9 \times 12 + 4) / 12 = \frac{112}{12}$ $\newline$ $9 \frac{1}{3} = (9 \times 3 + 1) / 3 = \frac{28}{3}$
Find Common Denominator: Find a common denominator to compare the fractions. $\newline$ Common denominator for $12$ and $3$ is $12$ . $\newline$ Convert $\frac{28}{3}$ to a fraction with denominator $12$ : $\newline$ $\frac{28}{3} = \left(\frac{28 \times 4}{3 \times 4}\right) = \frac{112}{12}$
Compare Fractions: Compare the two fractions now that they have the same denominator. $\frac{112}{12} ? \frac{112}{12}$ Since both fractions are equal, the correct sign is $=$ .