Convert to Improper Fractions: Convert mixed numbers to improper fractions. 2(1)/(2) can be converted to an improper fraction by multiplying the whole number 2 by the denominator 2 and then adding the numerator 1. The result is the new numerator, and the denominator remains the same. 2(1)/(2) = (2*2 + 1)/2 = (4 + 1)/2 = 5/2 1(3)/(4) can be converted to an improper fraction by multiplying the whole number 1 by the denominator 4 and then adding the numerator 3. The result is the new numerator, and the denominator remains the same. 1(3)/(4) = (1*4 + 3)/4 = (4 + 3)/4 = 7/4Subtract Fractions: Subtract the improper fractions. Now we have 5/2 - 7/4. To subtract these fractions, they must have a common denominator. The least common denominator (LCD) for 2 and 4 is 4. We need to convert 5/2 to a fraction with a denominator of 4. To do this, we multiply both the numerator and the denominator of 5/2 by 2. (5/2) * (2/2) = (5*2)/(2*2) = 10/4 Now we can subtract 7/4 from 10/4. 10/4 - 7/4 = (10 - 7)/4 = 3/4

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

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Algebra 1

Multiplication with rational exponents

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

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $2\left(\frac{1}{2}\right)$ can be converted to an improper fraction by multiplying the whole number $2$ by the denominator $2$ and then adding the numerator $1$ . The result is the new numerator, and the denominator remains the same. $\newline$ $2\left(\frac{1}{2}\right) = \left(2\times 2 + 1\right)/2 = \left(4 + 1\right)/2 = 5/2$ $\newline$ $1\left(\frac{3}{4}\right)$ can be converted to an improper fraction by multiplying the whole number $1$ by the denominator $4$ and then adding the numerator $3$ . The result is the new numerator, and the denominator remains the same. $\newline$ $1\left(\frac{3}{4}\right) = \left(1\times 4 + 3\right)/4 = \left(4 + 3\right)/4 = 7/4$
Subtract Fractions: Subtract the improper fractions. $\newline$ Now we have $\frac{5}{2} - \frac{7}{4}$ . To subtract these fractions, they must have a common denominator. The least common denominator (LCD) for $2$ and $4$ is $4$ . $\newline$ We need to convert $\frac{5}{2}$ to a fraction with a denominator of $4$ . To do this, we multiply both the numerator and the denominator of $\frac{5}{2}$ by $2$ . $\newline$ $(\frac{5}{2}) \cdot (\frac{2}{2}) = \frac{5\cdot2}{2\cdot2} = \frac{10}{4}$ $\newline$ Now we can subtract $\frac{7}{4}$ from $2$ $0$ . $\newline$ $2$ $1$