Question

1. $10\frac{1}{3} - 7\frac{5}{9}$

Explanation:

Step1: Convert mixed numbers to improper fractions

$10\frac{1}{3}=\frac{10\times3 + 1}{3}=\frac{31}{3}$; $7\frac{5}{9}=\frac{7\times9+5}{9}=\frac{68}{9}$

Step2: Find a common denominator (9) and rewrite the first fraction

$\frac{31}{3}=\frac{31\times3}{3\times3}=\frac{93}{9}$

Step3: Subtract the two fractions

$\frac{93}{9}-\frac{68}{9}=\frac{93 - 68}{9}=\frac{25}{9}$

Step4: Convert the improper fraction back to a mixed number

$\frac{25}{9}=2\frac{7}{9}$

Answer:

$2\frac{7}{9}$