Evaluate the expression. 1/2 - 1/5 ÷ 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, 1/5 ÷ 2/3. To divide fractions, multiply the first fraction by the reciprocal of the second fraction. Calculation: $ \frac{1}{5} \times \frac{3}{2} = \frac{3}{10} $Subtract from 1/2: Next, subtract the result from 1/2. Calculation: $ \frac{1}{2} - \frac{3}{10} $ To subtract these fractions, find a common denominator. The least common denominator between 2 and 10 is 10. Convert 1/2 to 5/10. Calculation: $ \frac{5}{10} - \frac{3}{10} = \frac{2}{10} $ Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 2. Calculation: $ \frac{2}{10} \div 2 = \frac{1}{5} $

Home

Math Problems

Grade 7

Evaluate numerical expressions involving fractions

Full solution

Q. Evaluate the expression.

\newline

\frac{1}{2} - \frac{1}{5} \div \frac{2}{3}

\newline

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

\newline

______

Handle Division: First, we need to handle the division part of the expression, $1$ / $5$ ÷ $2$ / $3$ . $\newline$ To divide fractions, multiply the first fraction by the reciprocal of the second fraction. $\newline$ Calculation: $\frac{1}{5} \times \frac{3}{2} = \frac{3}{10}$
Subtract from $1$ / $2$ : Next, subtract the result from $1$ / $2$ . $\newline$ Calculation: $\frac{1}{2} - \frac{3}{10}$ $\newline$ To subtract these fractions, find a common denominator. The least common denominator between $2$ and $10$ is $10$ . $\newline$ Convert $1$ / $2$ to $5$ / $10$ . $\newline$ Calculation: $\frac{5}{10} - \frac{3}{10} = \frac{2}{10}$ $\newline$ Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ Calculation: $\frac{2}{10} \div 2 = \frac{1}{5}$