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

Multiply Fractions: Multiply the fractions 3/4 and 2/3. To multiply fractions, multiply the numerators together and the denominators together. (3/4) * (2/3) = (3*2) / (4*3) = 6 / 12 Now, simplify the fraction if possible. 6 / 12 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 6. 6 / 12 = 1 / 2Simplify Result: Subtract the fraction 1/4 from the result of Step 1. We have 1/2 from the multiplication and need to subtract 1/4 from it. To subtract fractions, they must have a common denominator. The common denominator for 1/2 and 1/4 is 4. Convert 1/2 to a fraction with a denominator of 4. 1/2 = (1*2) / (2*2) = 2/4 Now subtract 1/4 from 2/4. 2/4 - 1/4 = (2-1) / 4 = 1 / 4

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

\newline

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

\newline

______

Multiply Fractions: Multiply the fractions $\frac{3}{4}$ and $\frac{2}{3}$ . To multiply fractions, multiply the numerators together and the denominators together. $\left(\frac{3}{4}\right) \times \left(\frac{2}{3}\right) = \frac{3\times2}{4\times3}$ = $\frac{6}{12}$ Now, simplify the fraction if possible. $\frac{6}{12}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $6$ . $\frac{6}{12} = \frac{1}{2}$
Simplify Result: Subtract the fraction $\frac{1}{4}$ from the result of Step $1$ . $\newline$ We have $\frac{1}{2}$ from the multiplication and need to subtract $\frac{1}{4}$ from it. $\newline$ To subtract fractions, they must have a common denominator. $\newline$ The common denominator for $\frac{1}{2}$ and $\frac{1}{4}$ is $4$ . $\newline$ Convert $\frac{1}{2}$ to a fraction with a denominator of $4$ . $\newline$ $\frac{1}{2} = \left(\frac{1\times2}{2\times2}\right) = \frac{2}{4}$ $\newline$ Now subtract $\frac{1}{4}$ from $\frac{1}{2}$ $0$ . $\newline$ $\frac{1}{2}$ $1$ $\newline$ $\frac{1}{2}$ $2$