Evaluate the expression. 3/4 - 1/4 ÷ 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 first. 3/4 - (1/4 ÷ 2/3) To divide fractions, multiply by the reciprocal of the divisor. 1/4 ÷ 2/3 = 1/4 * 3/2 = 3/8 Subtract Fractions: Step 2: Subtract the result from Step 1 from 3/4. 3/4 - 3/8 To subtract fractions, find a common denominator. The common denominator for 4 and 8 is 8. 3/4 = 6/8 (since 3*2 = 6 and 4*2 = 8) 6/8 - 3/8 = 3/8

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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}{4} \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 first. $\newline$ $\frac{3}{4} - \left(\frac{1}{4} \div \frac{2}{3}\right)$ $\newline$ To divide fractions, multiply by the reciprocal of the divisor. $\newline$ $\frac{1}{4} \div \frac{2}{3} = \frac{1}{4} \times \frac{3}{2} = \frac{3}{8}$
Subtract Fractions: Step $2$ : Subtract the result from Step $1$ from $\frac{3}{4}$ . $\newline$ $\frac{3}{4} - \frac{3}{8}$ $\newline$ To subtract fractions, find a common denominator. The common denominator for $4$ and $8$ is $8$ . $\newline$ $\frac{3}{4} = \frac{6}{8}$ (since $3\times2 = 6$ and $4\times2 = 8$ ) $\newline$ $\frac{6}{8} - \frac{3}{8} = \frac{3}{8}$