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

Question

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

Explanation:

Step1: Convert mixed numbers to improper fractions

$5\frac{3}{4}=\frac{5\times4 + 3}{4}=\frac{23}{4}$, $2\frac{1}{2}=\frac{2\times2+1}{2}=\frac{5}{2}$

Step2: Make the denominators the same

$\frac{5}{2}=\frac{5\times2}{2\times2}=\frac{10}{4}$

Step3: Subtract the fractions

$\frac{23}{4}-\frac{10}{4}=\frac{23 - 10}{4}=\frac{13}{4}$

Step4: Convert back to mixed number (optional)

$\frac{13}{4}=3\frac{1}{4}$

Answer:

$3\frac{1}{4}$ (or $\frac{13}{4}$)