Question

$8\frac{2}{3}-6\frac{5}{12}$

Explanation:

Step1: Convert to improper fractions

$8\frac{2}{3} = \frac{8\times3 + 2}{3} = \frac{26}{3}$
$6\frac{5}{12} = \frac{6\times12 + 5}{12} = \frac{77}{12}$

Step2: Find common denominator

Rewrite $\frac{26}{3}$ with denominator 12: $\frac{26\times4}{3\times4} = \frac{104}{12}$

Step3: Subtract the fractions

$\frac{104}{12} - \frac{77}{12} = \frac{104 - 77}{12} = \frac{27}{12}$

Step4: Simplify the result

$\frac{27}{12} = \frac{9}{4} = 2\frac{1}{4}$

Answer:

$2\frac{1}{4}$ (or $\frac{9}{4}$)