Which sign makes the statement true? 5 1/2 ? 2 11/12 Choices: (A)> (B)< (C)=

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier comparison. 5 1/2 = (5×2 + 1)/2 = 11/2 2 11/12 = (2×12 + 11)/12 = 35/12Compare Fractions: Compare the two fractions by finding a common denominator or converting to decimal. Common denominator for 2 and 12 is 12. 11/2 = 66/12 (since 11×6 = 66) Now compare 66/12 and 35/12.Determine Sign: Since 66/12 is greater than 35/12, the correct sign is '>'.

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Which sign makes the statement true? $\newline$ $5\frac{1}{2} \, ? \, 2\frac{11}{12}$ $\newline$ 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

5\frac{1}{2} \, ? \, 2\frac{11}{12}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier comparison. $\newline$ $5 \frac{1}{2} = (5\times2 + 1)/2 = \frac{11}{2}$ $\newline$ $2 \frac{11}{12} = (2\times12 + 11)/12 = \frac{35}{12}$
Compare Fractions: Compare the two fractions by finding a common denominator or converting to decimal. $\newline$ Common denominator for $2$ and $12$ is $12$ . $\newline$ $\frac{11}{2} = \frac{66}{12}$ (since $11\times6 = 66$ ) $\newline$ Now compare $\frac{66}{12}$ and $\frac{35}{12}$ .
Determine Sign: Since $\frac{66}{12}$ is greater than $\frac{35}{12}$ , the correct sign is '>'.