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Which sign makes the statement true? $\newline$ $\frac{9}{12} - \frac{3}{12}$ ? $\frac{10}{12} - \frac{2}{12}$ $\newline$ 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}{12} - \frac{3}{12}

?

\frac{10}{12} - \frac{2}{12}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Simplify Equation: Simplify both sides of the equation to find which sign makes the statement true. $\frac{9}{12} - \frac{3}{12} = \frac{6}{12}$ , and $\frac{10}{12} - \frac{2}{12} = \frac{8}{12}$ .
Convert to Lowest Terms: Convert simplified fractions to their lowest terms. $\frac{6}{12}$ reduces to $\frac{1}{2}$ , and $\frac{8}{12}$ reduces to $\frac{2}{3}$ .
Compare Simplified Fractions: Compare the two simplified fractions. $\frac{1}{2}$ is less than $\frac{2}{3}$ , so the correct sign is <.

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