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Evaluate the expression. $\newline$ $\frac{1}{2} + \frac{3}{4} \div \frac{1}{3}$ $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ ______

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Evaluate numerical expressions involving fractions

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Q. Evaluate the expression.

\newline

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

\newline

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

\newline

______

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: $\frac{2}{4} + \frac{9}{4} = \frac{11}{4}$

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