Evaluate the expression. 3/4 - 1/5 ÷ 4/5 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 ÷ 4/5. To divide fractions, multiply the first fraction by the reciprocal of the second fraction. Calculation: $ \frac{1}{5} \times \frac{5}{4} = \frac{1 \times 5}{5 \times 4} = \frac{5}{20} = \frac{1}{4} $Calculate Result: Next, subtract the result from 3/4. Calculation: $ \frac{3}{4} - \frac{1}{4} = \frac{3 - 1}{4} = \frac{2}{4} = \frac{1}{2} $

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Math Problems

Grade 7

Evaluate numerical expressions involving fractions

Full solution

Q. Evaluate the expression.

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\frac{3}{4} - \frac{1}{5} \div \frac{4}{5}

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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, $1$ / $5$ ÷ $4$ / $5$ . $\newline$ To divide fractions, multiply the first fraction by the reciprocal of the second fraction. $\newline$ Calculation: $\frac{1}{5} \times \frac{5}{4} = \frac{1 \times 5}{5 \times 4} = \frac{5}{20} = \frac{1}{4}$
Calculate Result: Next, subtract the result from $3$ / $4$ . $\newline$ Calculation: $\frac{3}{4} - \frac{1}{4} = \frac{3 - 1}{4} = \frac{2}{4} = \frac{1}{2}$