Which sign makes the statement true? 9 1/4 ? 9 9/11 Choices: (A)> (B)< (C)=

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier comparison. 9 1/4 = (9*4 + 1)/4 = 37/4 9 9/11 = (9*11 + 9)/11 = 108/11Compare Fractions: Compare the two fractions by finding a common denominator or converting to decimal. Common denominator for 4 and 11 is 44. 37/4 = 407/44 108/11 = 396/44 407/44 is greater than 396/44.Determine Inequality Sign: Determine the correct inequality sign. Since 407/44 > 396/44, the correct sign is '>'.

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Which sign makes the statement true? $\newline$ $9\frac{1}{4}\,?\,9\frac{9}{11}$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Grade 7

Compare rational numbers

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Q. Which sign makes the statement true?

\newline

9\frac{1}{4}\,?\,9\frac{9}{11}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier comparison. $\newline$ $9 \frac{1}{4} = (9\times 4 + 1)/4 = \frac{37}{4}$ $\newline$ $9 \frac{9}{11} = (9\times 11 + 9)/11 = \frac{108}{11}$
Compare Fractions: Compare the two fractions by finding a common denominator or converting to decimal. $\newline$ Common denominator for $4$ and $11$ is $44$ . $\newline$ $\frac{37}{4} = \frac{407}{44}$ $\newline$ $\frac{108}{11} = \frac{396}{44}$ $\newline$ $\frac{407}{44}$ is greater than $\frac{396}{44}$ .
Determine Inequality Sign: Determine the correct inequality sign. $\newline$ Since \frac{407}{44} > \frac{396}{44}, the correct sign is '>'.