Question

1. $8\frac{1}{4}-2\frac{5}{12}$
2. $12\frac{1}{3}-5\frac{4}{6}$
3. $9\frac{1}{2}-6\frac{9}{10}$

Explanation:

Step1: Convert to improper fractions

$1\frac{1}{4} = \frac{5}{4}$, $2\frac{5}{12} = \frac{29}{12}$

Step2: Find common denominator

$\frac{5}{4} = \frac{15}{12}$

Step3: Subtract the fractions

$\frac{15}{12} - \frac{29}{12} = -\frac{14}{12}$

Step4: Simplify the result

$-\frac{14}{12} = -\frac{7}{6} = -1\frac{1}{6}$

---

Step1: Convert to improper fractions

$12\frac{1}{3} = \frac{37}{3}$, $5\frac{4}{6} = \frac{34}{6} = \frac{17}{3}$

Step2: Subtract the fractions

$\frac{37}{3} - \frac{17}{3} = \frac{20}{3}$

Step3: Convert to mixed number

$\frac{20}{3} = 6\frac{2}{3}$

---

Step1: Convert to improper fractions

$9\frac{1}{2} = \frac{19}{2}$, $6\frac{9}{10} = \frac{69}{10}$

Step2: Find common denominator

$\frac{19}{2} = \frac{95}{10}$

Step3: Subtract the fractions

$\frac{95}{10} - \frac{69}{10} = \frac{26}{10}$

Step4: Simplify the result

$\frac{26}{10} = \frac{13}{5} = 2\frac{3}{5}$

Answer:

1. $-1\frac{1}{6}$
2. $6\frac{2}{3}$
3. $2\frac{3}{5}$