Question

27\frac{1}{2} - 15\frac{3}{4}

Explanation:

Step1: Convert to improper fractions

$27\frac{1}{2} = \frac{27\times2 + 1}{2} = \frac{55}{2}$, $15\frac{3}{4} = \frac{15\times4 + 3}{4} = \frac{63}{4}$

Step2: Get common denominator

$\frac{55}{2} = \frac{55\times2}{2\times2} = \frac{110}{4}$

Step3: Subtract the fractions

$\frac{110}{4} - \frac{63}{4} = \frac{110 - 63}{4} = \frac{47}{4}$

Step4: Convert to mixed number

$\frac{47}{4} = 11\frac{3}{4}$

Answer:

$11\frac{3}{4}$ (or $\frac{47}{4}$)