To convert a mixed number to an improper fraction, follow these steps:
1. Multiply the whole number by the denominator (the bottom number).
2. Add the numerator (the top number) to that result.
3. Write the new total over the original denominator.
Here are the solutions for each problem on the worksheet:
Row 1:
* $9 \frac{1}{9}$: $(9 \times 9) + 1 = 82$. Answer: $\frac{82}{9}$
* $3 \frac{8}{9}$: $(3 \times 9) + 8 = 35$. Answer: $\frac{35}{9}$
* $8 \frac{7}{12}$: $(8 \times 12) + 7 = 103$. Answer: $\frac{103}{12}$
* $7 \frac{7}{9}$: $(7 \times 9) + 7 = 70$. Answer: $\frac{70}{9}$
Row 2:
* $3 \frac{11}{15}$: $(3 \times 15) + 11 = 56$. Answer: $\frac{56}{15}$
* $3 \frac{2}{5}$: $(3 \times 5) + 2 = 17$. Answer: $\frac{17}{5}$
* $4 \frac{2}{7}$: $(4 \times 7) + 2 = 30$. Answer: $\frac{30}{7}$
* $7 \frac{1}{3}$: $(7 \times 3) + 1 = 22$. Answer: $\frac{22}{3}$
Row 3:
* $5 \frac{1}{7}$: $(5 \times 7) + 1 = 36$. Answer: $\frac{36}{7}$
* $2 \frac{7}{10}$: $(2 \times 10) + 7 = 27$. Answer: $\frac{27}{10}$
* $3 \frac{4}{5}$: $(3 \times 5) + 4 = 19$. Answer: $\frac{19}{5}$
* $4 \frac{5}{7}$: $(4 \times 7) + 5 = 33$. Answer: $\frac{33}{7}$
Row 4:
* $3 \frac{3}{8}$: $(3 \times 8) + 3 = 27$. Answer: $\frac{27}{8}$
* $6 \frac{1}{8}$: $(6 \times 8) + 1 = 49$. Answer: $\frac{49}{8}$
* $5 \frac{5}{6}$: $(5 \times 6) + 5 = 35$. Answer: $\frac{35}{6}$
* $7 \frac{4}{15}$: $(7 \times 15) + 4 = 109$. Answer: $\frac{109}{15}$
Row 5:
* $4 \frac{2}{9}$: $(4 \times 9) + 2 = 38$. Answer: $\frac{38}{9}$
* $9 \frac{1}{6}$: $(9 \times 6) + 1 = 55$. Answer: $\frac{55}{6}$
* $7 \frac{5}{8}$: $(7 \times 8) + 5 = 61$. Answer: $\frac{61}{8}$
* $1 \frac{5}{9}$: $(1 \times 9) + 5 = 14$. Answer: $\frac{14}{9}$
Final Answer:
$9 \frac{1}{9} = \frac{82}{9}$
$3 \frac{8}{9} = \frac{35}{9}$
$8 \frac{7}{12} = \frac{103}{12}$
$7 \frac{7}{9} = \frac{70}{9}$
$3 \frac{11}{15} = \frac{56}{15}$
$3 \frac{2}{5} = \frac{17}{5}$
$4 \frac{2}{7} = \frac{30}{7}$
$7 \frac{1}{3} = \frac{22}{3}$
$5 \frac{1}{7} = \frac{36}{7}$
$2 \frac{7}{10} = \frac{27}{10}$
$3 \frac{4}{5} = \frac{19}{5}$
$4 \frac{5}{7} = \frac{33}{7}$
$3 \frac{3}{8} = \frac{27}{8}$
$6 \frac{1}{8} = \frac{49}{8}$
$5 \frac{5}{6} = \frac{35}{6}$
$7 \frac{4}{15} = \frac{109}{15}$
$4 \frac{2}{9} = \frac{38}{9}$
$9 \frac{1}{6} = \frac{55}{6}$
$7 \frac{5}{8} = \frac{61}{8}$
$1 \frac{5}{9} = \frac{14}{9}$
Parent Tip: Review the logic above to help your child master the concept of mixed number improper fraction worksheet.