To convert a mixed number to an improper fraction, follow these steps:
1. Multiply the whole number by the denominator.
2. Add the numerator to the result.
3. Place the sum over the original denominator.
Here are the solutions:
1. $9 \frac{1}{9} = \frac{9 \times 9 + 1}{9} = \frac{81 + 1}{9} = \frac{82}{9}$
2. $3 \frac{8}{9} = \frac{3 \times 9 + 8}{9} = \frac{27 + 8}{9} = \frac{35}{9}$
3. $8 \frac{7}{12} = \frac{8 \times 12 + 7}{12} = \frac{96 + 7}{12} = \frac{103}{12}$
4. $7 \frac{7}{9} = \frac{7 \times 9 + 7}{9} = \frac{63 + 7}{9} = \frac{70}{9}$
5. $3 \frac{11}{15} = \frac{3 \times 15 + 11}{15} = \frac{45 + 11}{15} = \frac{56}{15}$
6. $3 \frac{2}{5} = \frac{3 \times 5 + 2}{5} = \frac{15 + 2}{5} = \frac{17}{5}$
7. $4 \frac{2}{7} = \frac{4 \times 7 + 2}{7} = \frac{28 + 2}{7} = \frac{30}{7}$
8. $7 \frac{1}{3} = \frac{7 \times 3 + 1}{3} = \frac{21 + 1}{3} = \frac{22}{3}$
9. $5 \frac{1}{7} = \frac{5 \times 7 + 1}{7} = \frac{35 + 1}{7} = \frac{36}{7}$
10. $2 \frac{7}{10} = \frac{2 \times 10 + 7}{10} = \frac{20 + 7}{10} = \frac{27}{10}$
11. $3 \frac{4}{5} = \frac{3 \times 5 + 4}{5} = \frac{15 + 4}{5} = \frac{19}{5}$
12. $4 \frac{5}{7} = \frac{4 \times 7 + 5}{7} = \frac{28 + 5}{7} = \frac{33}{7}$
13. $3 \frac{3}{8} = \frac{3 \times 8 + 3}{8} = \frac{24 + 3}{8} = \frac{27}{8}$
14. $6 \frac{1}{8} = \frac{6 \times 8 + 1}{8} = \frac{48 + 1}{8} = \frac{49}{8}$
15. $5 \frac{5}{6} = \frac{5 \times 6 + 5}{6} = \frac{30 + 5}{6} = \frac{35}{6}$
16. $7 \frac{4}{15} = \frac{7 \times 15 + 4}{15} = \frac{105 + 4}{15} = \frac{109}{15}$
17. $4 \frac{2}{9} = \frac{4 \times 9 + 2}{9} = \frac{36 + 2}{9} = \frac{38}{9}$
18. $9 \frac{1}{6} = \frac{9 \times 6 + 1}{6} = \frac{54 + 1}{6} = \frac{55}{6}$
19. $7 \frac{5}{8} = \frac{7 \times 8 + 5}{8} = \frac{56 + 5}{8} = \frac{61}{8}$
20. $1 \frac{5}{9} = \frac{1 \times 9 + 5}{9} = \frac{9 + 5}{9} = \frac{14}{9}$
Parent Tip: Review the logic above to help your child master the concept of change mixed numbers to improper fractions worksheet.
