Which sign makes the statement true? 7/12 ? 4/12 + 1/3 Choices: (A)> (B)< (C)=

Simplify Right Side: Step 1: Simplify the right side of the equation. We need to add 4/12 and 1/3. First, convert 1/3 to a fraction with a denominator of 12, which is 4/12. Now, add 4/12 + 4/12. 4/12 + 4/12 = 8/12Simplify to Lowest Terms: Step 2: Simplify 8/12 to its lowest terms. 8/12 can be reduced by dividing both the numerator and the denominator by 4. 8/12 ÷ 4/4 = 2/3Compare Fractions: Step 3: Compare 7/12 and 2/3. To compare, convert 2/3 to a fraction with a denominator of 12, which is 8/12. Now compare 7/12 and 8/12. Since 7/12 is less than 8/12, 7/12 < 8/12

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Which sign makes the statement true? $\newline$ $\frac{7}{12}$ $\text{?}$ $\frac{4}{12}$ $+$ $\frac{1}{3}$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Math Problems

Grade 7

Inequalities with addition and subtraction of fractions and mixed numbers

Full solution

Q. Which sign makes the statement true?

\newline

\frac{7}{12}

\text{?}

\frac{4}{12}

+

\frac{1}{3}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Simplify Right Side: Step $1$ : Simplify the right side of the equation. $\newline$ We need to add $\frac{4}{12}$ and $\frac{1}{3}$ . First, convert $\frac{1}{3}$ to a fraction with a denominator of $12$ , which is $\frac{4}{12}$ . Now, add $\frac{4}{12} + \frac{4}{12}$ . $\newline$ $\frac{4}{12} + \frac{4}{12} = \frac{8}{12}$
Simplify to Lowest Terms: Step $2$ : Simplify $\frac{8}{12}$ to its lowest terms. $\newline$ $\frac{8}{12}$ can be reduced by dividing both the numerator and the denominator by $4$ . $\newline$ $\frac{8}{12} \div \frac{4}{4} = \frac{2}{3}$
Compare Fractions: Step $3$ : Compare $\frac{7}{12}$ and $\frac{2}{3}$ . To compare, convert $\frac{2}{3}$ to a fraction with a denominator of $12$ , which is $\frac{8}{12}$ . Now compare $\frac{7}{12}$ and $\frac{8}{12}$ . Since $\frac{7}{12}$ is less than $\frac{8}{12}$ , \frac{7}{12} < \frac{8}{12}