Which sign makes the statement true? 10/14 ? 5/6 Choices: (A)= (B)≠

Simplify Fractions: Step 1: Simplify the fractions to their lowest terms. 10/14 simplifies to 5/7 (Divide numerator and denominator by 2). 5/6 is already in its simplest form.Compare Fractions with Common Denominator: Step 2: Compare the simplified fractions by converting them to a common denominator. Common denominator for 5/7 and 5/6 is 42. 5/7 = (5*6)/(7*6) = 30/42, 5/6 = (5*7)/(6*7) = 35/42.Determine Inequality: Step 3: Compare the numerators to determine the inequality. 30/42 < 35/42, so 5/7 < 5/6.

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Which sign makes the statement true? $\newline$ $\frac{10}{14} ? \frac{5}{6}$ $\newline$ Choices: $\newline$ (A) $=$ $\newline$ (B) $\neq$

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Grade 8

Evaluate powers with negative exponents

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Q. Which sign makes the statement true?

\newline

\frac{10}{14} ? \frac{5}{6}

\newline

Choices:

\newline

(A)

=

\newline

(B)

\neq

Simplify Fractions: Step $1$ : Simplify the fractions to their lowest terms. $\newline$ $\frac{10}{14}$ simplifies to $\frac{5}{7}$ (Divide numerator and denominator by $2$ ). $\newline$ $\frac{5}{6}$ is already in its simplest form.
Compare Fractions with Common Denominator: Step $2$ : Compare the simplified fractions by converting them to a common denominator. $\newline$ Common denominator for $\frac{5}{7}$ and $\frac{5}{6}$ is $42$ . $\newline$ $\frac{5}{7} = \frac{(5\times6)}{(7\times6)} = \frac{30}{42}$ , $\newline$ $\frac{5}{6} = \frac{(5\times7)}{(6\times7)} = \frac{35}{42}$ .
Determine Inequality: Step $3$ : Compare the numerators to determine the inequality. \frac{30}{42} < \frac{35}{42}, so \frac{5}{7} < \frac{5}{6}.