Question

1. $5\frac{1}{2} - 3\frac{4}{5} =$
2. $9\frac{4}{10} - 3\frac{1}{3} =$
3. $5\frac{2}{3} - 2\frac{1}{2} =$
4. $7\frac{2}{4} - 1\frac{1}{2} =$
5. $6\frac{2}{5} - 1\frac{3}{4} =$
6. $7\frac{5}{10} - 4\frac{1}{4} =$
7. $5\frac{3}{4} - 1\frac{2}{3} =$

Explanation:

Problem 4:

Step1: Convert mixed numbers to improper fractions

$5\frac{1}{2}=\frac{5\times2 + 1}{2}=\frac{11}{2}$, $3\frac{4}{5}=\frac{3\times5+4}{5}=\frac{19}{5}$

Step2: Find a common denominator (10) and subtract

$\frac{11}{2}-\frac{19}{5}=\frac{55}{10}-\frac{38}{10}=\frac{17}{10}=1\frac{7}{10}$

Step1: Convert to improper fractions

$9\frac{4}{10}=\frac{9\times10 + 4}{10}=\frac{94}{10}=\frac{47}{5}$, $3\frac{1}{3}=\frac{3\times3+1}{3}=\frac{10}{3}$

Step2: Common denominator (15) and subtract

$\frac{47}{5}-\frac{10}{3}=\frac{141}{15}-\frac{50}{15}=\frac{91}{15}=6\frac{1}{15}$

Step1: Convert to improper fractions

$5\frac{2}{3}=\frac{5\times3 + 2}{3}=\frac{17}{3}$, $2\frac{1}{2}=\frac{2\times2+1}{2}=\frac{5}{2}$

Step2: Common denominator (6) and subtract

$\frac{17}{3}-\frac{5}{2}=\frac{34}{6}-\frac{15}{6}=\frac{19}{6}=3\frac{1}{6}$

Answer:

$1\frac{7}{10}$

Problem 5: