Which sign makes the statement true? 9 1/3 ? 9 5/6 Choices: (A)> (B)< (C)=

Convert to Improper Fractions: Convert the mixed numbers to improper fractions to simplify comparison. 9 1/3 = (9 * 3 + 1)/3 = 28/3 9 5/6 = (9 * 6 + 5)/6 = 59/6 Find Common Denominator: Compare the improper fractions by finding a common denominator. Common denominator for 3 and 6 is 6. Convert 28/3 to a fraction with denominator 6: (28 * 2)/6 = 56/6 Now compare 56/6 and 59/6. Compare and Determine: Determine which fraction is larger. Since 56/6 < 59/6, 9 1/3 < 9 5/6.

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Which sign makes the statement true? $\newline$ $9\frac{1}{3}$ $\text{?}$ $9\frac{5}{6}$ $\newline$ 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

9\frac{1}{3}

\text{?}

9\frac{5}{6}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Convert to Improper Fractions: Convert the mixed numbers to improper fractions to simplify comparison. $\newline$ $9 \frac{1}{3} = (9 \times 3 + 1)/3 = \frac{28}{3}$ $\newline$ $9 \frac{5}{6} = (9 \times 6 + 5)/6 = \frac{59}{6}$
Find Common Denominator: Compare the improper fractions by finding a common denominator. $\newline$ Common denominator for $3$ and $6$ is $6$ . $\newline$ Convert $\frac{28}{3}$ to a fraction with denominator $6$ : $(28 \times 2)/6 = \frac{56}{6}$ $\newline$ Now compare $\frac{56}{6}$ and $\frac{59}{6}$ .
Compare and Determine: Determine which fraction is larger. $\newline$ Since \frac{56}{6} < \frac{59}{6}, 9 \frac{1}{3} < 9 \frac{5}{6}.