Which sign makes the statement true? 3/12 ? 2/3 − 4/12 Choices: (A)> (B)< (C)=

Simplify fractions: Simplify the expression on the right side of the question mark: 2/3 - 4/12 needs to be calculated. First, find a common denominator for the fractions, which is 12. Convert 2/3 to 8/12. Now subtract: 8/12 - 4/12 = 4/12. Convert to lowest terms: Simplify 4/12 to its lowest terms by dividing the numerator and the denominator by their greatest common divisor, which is 4. So, 4/12 simplifies to 1/3. Compare fractions: Compare 3/12 and 1/3. Convert 3/12 to its simplest form by dividing both the numerator and the denominator by 3, which gives 1/4. Now compare 1/4 and 1/3. Since 1/4 is less than 1/3, the correct sign is <.

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Which sign makes the statement true? $\newline$ $\frac{3}{12}$ $\text{?}$ $\frac{2}{3} - \frac{4}{12}$ $\newline$ 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

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Q. Which sign makes the statement true?

\newline

\frac{3}{12}

\text{?}

\frac{2}{3} - \frac{4}{12}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Simplify fractions: Simplify the expression on the right side of the question mark: $\newline$ $\frac{2}{3} - \frac{4}{12}$ needs to be calculated. First, find a common denominator for the fractions, which is $12$ . Convert $\frac{2}{3}$ to $\frac{8}{12}$ . Now subtract: $\frac{8}{12} - \frac{4}{12} = \frac{4}{12}$ .
Convert to lowest terms: Simplify $\frac{4}{12}$ to its lowest terms by dividing the numerator and the denominator by their greatest common divisor, which is $4$ . So, $\frac{4}{12}$ simplifies to $\frac{1}{3}$ .
Compare fractions: Compare $\frac{3}{12}$ and $\frac{1}{3}$ . Convert $\frac{3}{12}$ to its simplest form by dividing both the numerator and the denominator by $3$ , which gives $\frac{1}{4}$ . Now compare $\frac{1}{4}$ and $\frac{1}{3}$ . Since $\frac{1}{4}$ is less than $\frac{1}{3}$ , the correct sign is <.