Evaluate the expression. 3/5 ÷ 2/3 - 1/2 Write your answer as a fraction or as a whole or mixed number. ______

Convert to multiplication: Convert the division of fractions to multiplication. To divide by a fraction, multiply by its reciprocal. 3/5 ÷ 2/3 = 3/5 * 3/2Multiply the fractions: Multiply the fractions. (3/5) * (3/2) = 9/10Subtract from result: Subtract 1/2 from the result of the multiplication. 9/10 - 1/2 To subtract, convert 1/2 to a fraction with a denominator of 10: 1/2 = 5/10Perform the subtraction: Perform the subtraction. 9/10 - 5/10 = 4/10Simplify the fraction: Simplify the fraction. 4/10 can be simplified to 2/5 by dividing the numerator and denominator by 2.

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Evaluate the expression. $\newline$ $\frac{3}{5} \div \frac{2}{3} - \frac{1}{2}$ $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ ______

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Math Problems

Grade 7

Evaluate numerical expressions involving fractions

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Q. Evaluate the expression.

\newline

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

\newline

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

\newline

______

Convert to multiplication: Convert the division of fractions to multiplication. $\newline$ To divide by a fraction, multiply by its reciprocal. $\newline$ $\frac{3}{5} \div \frac{2}{3} = \frac{3}{5} \times \frac{3}{2}$
Multiply the fractions: Multiply the fractions. $\newline$ $(\frac{3}{5}) \times (\frac{3}{2}) = \frac{9}{10}$
Subtract from result: Subtract $\frac{1}{2}$ from the result of the multiplication. $\newline$ $\frac{9}{10} - \frac{1}{2}$ $\newline$ To subtract, convert $\frac{1}{2}$ to a fraction with a denominator of $10$ : $\frac{1}{2} = \frac{5}{10}$
Perform the subtraction: Perform the subtraction. $\newline$ $\frac{9}{10} - \frac{5}{10} = \frac{4}{10}$
Simplify the fraction: Simplify the fraction. $\frac{4}{10}$ can be simplified to $\frac{2}{5}$ by dividing the numerator and denominator by $2$ .