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

Simplify Division: Step 1: Simplify the division of fractions. To divide fractions, multiply the first fraction by the reciprocal of the second fraction. Calculation: $ \frac{4}{5} \div \frac{2}{5} = \frac{4}{5} \times \frac{5}{2} $Multiply Numerators and Denominators: Step 2: Multiply the numerators and the denominators. Calculation: $ \frac{4 \times 5}{5 \times 2} = \frac{20}{10} $Simplify Fraction: Step 3: Simplify the fraction. Calculation: $ \frac{20}{10} = 2 $Subtract from Result: Step 4: Subtract 1 from the result of the division. Calculation: $ 2 - 1 = 1 $

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

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

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______

Simplify Division: Step $1$ : Simplify the division of fractions. $\newline$ To divide fractions, multiply the first fraction by the reciprocal of the second fraction. $\newline$ Calculation: $\frac{4}{5} \div \frac{2}{5} = \frac{4}{5} \times \frac{5}{2}$
Multiply Numerators and Denominators: Step $2$ : Multiply the numerators and the denominators. $\newline$ Calculation: $\frac{4 \times 5}{5 \times 2} = \frac{20}{10}$
Simplify Fraction: Step $3$ : Simplify the fraction. $\newline$ Calculation: $\frac{20}{10} = 2$
Subtract from Result: Step $4$ : Subtract $1$ from the result of the division. $\newline$ Calculation: $2 - 1 = 1$