Evaluate the expression. 4/5 * 3/4 - 1/2 Write your answer as a fraction or as a whole or mixed number. ______

Multiply fractions: Step 1: Multiply the fractions 4/5 and 3/4. Calculation: (4/5) * (3/4) = 12/20, which simplifies to 3/5.Subtract from result: Step 2: Subtract 1/2 from the result of Step 1. Calculation: 3/5 - 1/2 needs a common denominator. The common denominator of 5 and 2 is 10. Convert fractions: 3/5 = 6/10, 1/2 = 5/10. Now, 6/10 - 5/10 = 1/10.

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Math Problems

Grade 7

Evaluate numerical expressions involving fractions

Full solution

Q. Evaluate the expression.

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\frac{4}{5} \times \frac{3}{4} - \frac{1}{2}

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

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______

Multiply fractions: Step $1$ : Multiply the fractions $\frac{4}{5}$ and $\frac{3}{4}$ . $\newline$ Calculation: $\left(\frac{4}{5}\right) \times \left(\frac{3}{4}\right) = \frac{12}{20}$ , which simplifies to $\frac{3}{5}$ .
Subtract from result: Step $2$ : Subtract $\frac{1}{2}$ from the result of Step $1$ . $\newline$ Calculation: $\frac{3}{5} - \frac{1}{2}$ needs a common denominator. The common denominator of $5$ and $2$ is $10$ . Convert fractions: $\frac{3}{5} = \frac{6}{10}, \frac{1}{2} = \frac{5}{10}$ . Now, $\frac{6}{10} - \frac{5}{10} = \frac{1}{10}$ .