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

Handle Division: First, we need to handle the division part of the expression, 1/4 ÷ 2/3. To divide fractions, we multiply by the reciprocal of the divisor. Calculation: $ \frac{1}{4} \times \frac{3}{2} = \frac{1 \times 3}{4 \times 2} = \frac{3}{8} $Add Fractions: Next, add the result from the first step to 1/2. Calculation: $ \frac{1}{2} + \frac{3}{8} $ To add these fractions, we need a common denominator. The least common denominator between 2 and 8 is 8. Convert $ \frac{1}{2} $ to $ \frac{4}{8} $ and then add: $ \frac{4}{8} + \frac{3}{8} = \frac{7}{8} $

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

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

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______

Handle Division: First, we need to handle the division part of the expression, $1$ / $4$ ÷ $2$ / $3$ . To divide fractions, we multiply by the reciprocal of the divisor. $\newline$ Calculation: $\frac{1}{4} \times \frac{3}{2} = \frac{1 \times 3}{4 \times 2} = \frac{3}{8}$
Add Fractions: Next, add the result from the first step to $1$ / $2$ . $\newline$ Calculation: $\frac{1}{2} + \frac{3}{8}$ $\newline$ To add these fractions, we need a common denominator. The least common denominator between $2$ and $8$ is $8$ . $\newline$ Convert $\frac{1}{2}$ to $\frac{4}{8}$ and then add: $\frac{4}{8} + \frac{3}{8} = \frac{7}{8}$