Evaluate the expression. 1/2 + 2/5 ÷ 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, which is 2/5 ÷ 2/3. To divide fractions, we multiply by the reciprocal of the divisor. Calculation: $ \frac{2}{5} \div \frac{2}{3} = \frac{2}{5} \times \frac{3}{2} = \frac{6}{10} $ Simplifying $ \frac{6}{10} $ gives $ \frac{3}{5} $.Add Fractions: Next, we add the result from the first step to 1/2. Calculation: $ \frac{1}{2} + \frac{3}{5} $ To add these fractions, we need a common denominator. The least common denominator between 2 and 5 is 10. Converting fractions: $ \frac{1}{2} = \frac{5}{10} $ and $ \frac{3}{5} = \frac{6}{10} $ Now, add them: $ \frac{5}{10} + \frac{6}{10} = \frac{11}{10} $

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Math Problems

Grade 7

Evaluate numerical expressions involving fractions

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Q. Evaluate the expression.

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\frac{1}{2} + \frac{2}{5} \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, which is $2$ / $5$ ÷ $2$ / $3$ . To divide fractions, we multiply by the reciprocal of the divisor. $\newline$ Calculation: $\frac{2}{5} \div \frac{2}{3} = \frac{2}{5} \times \frac{3}{2} = \frac{6}{10}$ $\newline$ Simplifying $\frac{6}{10}$ gives $\frac{3}{5}$ .
Add Fractions: Next, we add the result from the first step to $1$ / $2$ . $\newline$ Calculation: $\frac{1}{2} + \frac{3}{5}$ $\newline$ To add these fractions, we need a common denominator. The least common denominator between $2$ and $5$ is $10$ . $\newline$ Converting fractions: $\frac{1}{2} = \frac{5}{10}$ and $\frac{3}{5} = \frac{6}{10}$ $\newline$ Now, add them: $\frac{5}{10} + \frac{6}{10} = \frac{11}{10}$