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

Divide Fractions: Divide 3/4 by 1/2. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Reciprocal of 1/2 is 2/1. So, 3/4 ÷ 1/2 becomes 3/4 * 2/1. Now, multiply the numerators and the denominators separately. (3 * 2) / (4 * 1) = 6/4.Simplify Fraction: Simplify the fraction 6/4. 6/4 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 6 ÷ 2 = 3 4 ÷ 2 = 2 So, 6/4 simplifies to 3/2.Subtract Fractions: Subtract 1/4 from the simplified fraction 3/2. To subtract fractions, they must have a common denominator. The common denominator for 2 and 4 is 4. Convert 3/2 to a fraction with a denominator of 4. 3/2 is equivalent to 6/4 (since 3 * 2 = 6 and 2 * 2 = 4). Now, subtract 1/4 from 6/4. 6/4 - 1/4 = (6 - 1)/4 = 5/4.

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Evaluate the expression. $\newline$ $\frac{3}{4} \div \frac{1}{2} - \frac{1}{4}$ $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ ______

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Math Problems

Grade 7

Evaluate numerical expressions involving fractions

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Q. Evaluate the expression.

\newline

\frac{3}{4} \div \frac{1}{2} - \frac{1}{4}

\newline

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

\newline

______

Divide Fractions: Divide $\frac{3}{4}$ by $\frac{1}{2}$ . To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Reciprocal of $\frac{1}{2}$ is $\frac{2}{1}$ . So, $\frac{3}{4} \div \frac{1}{2}$ becomes $\frac{3}{4} \times \frac{2}{1}$ . Now, multiply the numerators and the denominators separately. $(3 \times 2) / (4 \times 1) = \frac{6}{4}$ .
Simplify Fraction: Simplify the fraction $\frac{6}{4}$ . $\frac{6}{4}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $6 \div 2 = 3$ $4 \div 2 = 2$ So, $\frac{6}{4}$ simplifies to $\frac{3}{2}$ .
Subtract Fractions: Subtract $\frac{1}{4}$ from the simplified fraction $\frac{3}{2}$ . To subtract fractions, they must have a common denominator. The common denominator for $2$ and $4$ is $4$ . Convert $\frac{3}{2}$ to a fraction with a denominator of $4$ . $\frac{3}{2}$ is equivalent to $\frac{6}{4}$ (since $3 \times 2 = 6$ and $\frac{3}{2}$ $0$ ). Now, subtract $\frac{1}{4}$ from $\frac{6}{4}$ . $\frac{3}{2}$ $3$ .