Which sign makes the statement true? 6/12 ? 3/12 + 1/4 Choices: (A)> (B)< (C)=

Simplify Fraction: Simplify 6/12 to its lowest terms. Calculation: 6/12 = 1/2. Convert to Common Denominator: Convert 1/4 to a fraction with a denominator of 12 for easy addition. Calculation: 1/4 = 3/12. Add Fractions: Add 3/12 and 3/12 to find the sum. Calculation: 3/12 + 3/12 = 6/12. Compare Fractions: Compare 1/2 and 6/12. Since 1/2 is equal to 6/12, the correct sign is '='.

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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{6}{12}

\text{?}

\frac{3}{12} + \frac{1}{4}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Simplify Fraction: Simplify $\frac{6}{12}$ to its lowest terms. Calculation: $\frac{6}{12} = \frac{1}{2}.$
Convert to Common Denominator: Convert $\frac{1}{4}$ to a fraction with a denominator of $12$ for easy addition. Calculation: $\frac{1}{4} = \frac{3}{12}$ .
Add Fractions: Add $\frac{3}{12}$ and $\frac{3}{12}$ to find the sum. Calculation: $\frac{3}{12} + \frac{3}{12} = \frac{6}{12}$ .
Compare Fractions: Compare $\frac{1}{2}$ and $\frac{6}{12}$ . Since $\frac{1}{2}$ is equal to $\frac{6}{12}$ , the correct sign is '='.