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

Divide Fractions: Divide the fractions 1/2 by 1/3. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. 1/2 ÷ 1/3 = 1/2 * 3/1 = 3/2Convert to Mixed Number: Convert the improper fraction 3/2 to a mixed number. 3/2 is the same as 1 1/2 because 3 divided by 2 is 1 with a remainder of 1.Subtract Mixed Number: Subtract the fraction 3/4 from the mixed number 1 1/2. First, we need to find a common denominator for the fractions 1/2 and 3/4. The common denominator is 4. 1 1/2 - 3/4 = 1 2/4 - 3/4Perform Subtraction: Perform the subtraction. 1 2/4 - 3/4 = 1 - 1/4 We subtracted 3/4 from 2/4 and borrowed 1 from the whole number.Write Final Answer: Write the final answer. The final answer is 3/4.

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Evaluate the expression. $\newline$ $\frac{1}{2} \div \frac{1}{3} - \frac{3}{4}$ $\newline$ 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{1}{2} \div \frac{1}{3} - \frac{3}{4}

\newline

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

\newline

______

Divide Fractions: Divide the fractions $\frac{1}{2}$ by $\frac{1}{3}$ . $\newline$ To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. $\newline$ $\frac{1}{2} \div \frac{1}{3} = \frac{1}{2} \times \frac{3}{1} = \frac{3}{2}$
Convert to Mixed Number: Convert the improper fraction $\frac{3}{2}$ to a mixed number. $\newline$ $\frac{3}{2}$ is the same as $1\frac{1}{2}$ because $3$ divided by $2$ is $1$ with a remainder of $1$ .
Subtract Mixed Number: Subtract the fraction $\frac{3}{4}$ from the mixed number $1\frac{1}{2}$ . First, we need to find a common denominator for the fractions $\frac{1}{2}$ and $\frac{3}{4}$ . The common denominator is $4$ . $1\frac{1}{2} - \frac{3}{4} = 1\frac{2}{4} - \frac{3}{4}$
Perform Subtraction: Perform the subtraction. $\newline$ $1\frac{2}{4} - \frac{3}{4} = 1 - \frac{1}{4}$ $\newline$ We subtracted $\frac{3}{4}$ from $\frac{2}{4}$ and borrowed $1$ from the whole number.
Write Final Answer: Write the final answer. $\newline$ The final answer is $\frac{3}{4}$ .