Evaluate the expression. 1/2 + 3/4 ÷ 1/3 Write your answer as a fraction or as a whole or mixed number. ______

Convert to multiplication: Convert the division into multiplication by the reciprocal. 1/2 + (3/4 ÷ 1/3) becomes 1/2 + (3/4 * 3/1) Calculation: 3/4 * 3/1 = 9/4Add fractions: Add 1/2 to 9/4. Convert 1/2 to a fraction with a denominator of 4: 1/2 = 2/4 Calculation: 2/4 + 9/4 = 11/4

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Math Problems

Grade 7

Evaluate numerical expressions involving fractions

Full solution

Q. Evaluate the expression.

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\frac{1}{2} + \frac{3}{4} \div \frac{1}{3}

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Write your answer as a fraction or as a whole or mixed number.

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______

Convert to multiplication: Convert the division into multiplication by the reciprocal. $\newline$ $\frac{1}{2} + \left(\frac{3}{4} \div \frac{1}{3}\right)$ becomes $\frac{1}{2} + \left(\frac{3}{4} \times \frac{3}{1}\right)$ $\newline$ Calculation: $\frac{3}{4} \times \frac{3}{1} = \frac{9}{4}$
Add fractions: Add $\frac{1}{2}$ to $\frac{9}{4}$ . $\newline$ Convert $\frac{1}{2}$ to a fraction with a denominator of $4$ : $\frac{1}{2} = \frac{2}{4}$ $\newline$ Calculation: $\frac{2}{4} + \frac{9}{4} = \frac{11}{4}$