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

Simplify Division: Step 1: Simplify the division part of the expression. 1 - 1/2 ÷ 2/3 First, convert the division into multiplication by flipping the second fraction: 1/2 ÷ 2/3 = 1/2 × 3/2 Now, multiply the numerators and the denominators: (1 × 3) / (2 × 2) = 3/4Subtract from 1: Step 2: Subtract the result from 1. 1 - 3/4 To subtract fractions, convert 1 into a fraction with the same denominator: 1 = 4/4 Now, subtract the two fractions: 4/4 - 3/4 = 1/4

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Math Problems

Grade 7

Evaluate numerical expressions involving fractions

Full solution

Q. Evaluate the expression.

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

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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 part of the expression. $\newline$ $1 - \frac{1}{2} \div \frac{2}{3}$ $\newline$ First, convert the division into multiplication by flipping the second fraction: $\newline$ $\frac{1}{2} \div \frac{2}{3} = \frac{1}{2} \times \frac{3}{2}$ $\newline$ Now, multiply the numerators and the denominators: $\newline$ $(1 \times 3) / (2 \times 2) = \frac{3}{4}$
Subtract from $1$ : Step $2$ : Subtract the result from $1$ . $\newline$ $1 - \frac{3}{4}$ $\newline$ To subtract fractions, convert $1$ into a fraction with the same denominator: $\newline$ $1 = \frac{4}{4}$ $\newline$ Now, subtract the two fractions: $\newline$ $\frac{4}{4} - \frac{3}{4} = \frac{1}{4}$