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Which sign makes the statement true? $\newline$ $\frac{9}{11} - \frac{3}{11}$ $\text{?}$ $\frac{9}{11} - \frac{2}{11}$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Inequalities with addition and subtraction of like and unlike fractions

Full solution

Q. Which sign makes the statement true?

\newline

\frac{9}{11} - \frac{3}{11}

\text{?}

\frac{9}{11} - \frac{2}{11}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Simplify expressions: Step $1$ : Simplify both expressions to find which is greater. $\newline$ $\frac{9}{11} - \frac{3}{11} = \frac{6}{11}$ (since $9 - 3 = 6$ ) $\newline$ $\frac{9}{11} - \frac{2}{11} = \frac{7}{11}$ (since $9 - 2 = 7$ )
Compare simplified results: Step $2$ : Compare the simplified results. $\newline$ $\frac{6}{11}$ is less than $\frac{7}{11}$ , so \frac{9}{11} - \frac{3}{11} < \frac{9}{11} - \frac{2}{11}.

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