To convert a mixed number to an improper fraction, follow these steps:
1. Multiply the whole number by the denominator (the bottom number of the fraction).
2. Add the numerator (the top number of the fraction) to that result.
3. Place that total over the original denominator.
Here are the solutions for each problem on the worksheet:
1. $9 \frac{1}{7}$
* $9 \times 7 = 63$
* $63 + 1 = 64$
* Answer: $\frac{64}{7}$
2. $3 \frac{2}{5}$
* $3 \times 5 = 15$
* $15 + 2 = 17$
* Answer: $\frac{17}{5}$
3. $7 \frac{2}{3}$
* $7 \times 3 = 21$
* $21 + 2 = 23$
* Answer: $\frac{23}{3}$
4. $5 \frac{1}{6}$
* $5 \times 6 = 30$
* $30 + 1 = 31$
* Answer: $\frac{31}{6}$
5. $6 \frac{4}{9}$
* $6 \times 9 = 54$
* $54 + 4 = 58$
* Answer: $\frac{58}{9}$
6. $4 \frac{1}{3}$
* $4 \times 3 = 12$
* $12 + 1 = 13$
* Answer: $\frac{13}{3}$
7. $4 \frac{6}{11}$
* $4 \times 11 = 44$
* $44 + 6 = 50$
* Answer: $\frac{50}{11}$
8. $7 \frac{5}{6}$
* $7 \times 6 = 42$
* $42 + 5 = 47$
* Answer: $\frac{47}{6}$
9. $3 \frac{4}{7}$
* $3 \times 7 = 21$
* $21 + 4 = 25$
* Answer: $\frac{25}{7}$
10. $8 \frac{3}{4}$
* $8 \times 4 = 32$
* $32 + 3 = 35$
* Answer: $\frac{35}{4}$
11. $9 \frac{8}{9}$
* $9 \times 9 = 81$
* $81 + 8 = 89$
* Answer: $\frac{89}{9}$
12. $7 \frac{1}{12}$
* $7 \times 12 = 84$
* $84 + 1 = 85$
* Answer: $\frac{85}{12}$
13. $12 \frac{7}{8}$
* $12 \times 8 = 96$
* $96 + 7 = 103$
* Answer: $\frac{103}{8}$
14. $6 \frac{4}{5}$
* $6 \times 5 = 30$
* $30 + 4 = 34$
* Answer: $\frac{34}{5}$
15. $8 \frac{1}{12}$
* $8 \times 12 = 96$
* $96 + 1 = 97$
* Answer: $\frac{97}{12}$
16. $10 \frac{3}{4}$
* $10 \times 4 = 40$
* $40 + 3 = 43$
* Answer: $\frac{43}{4}$
17. $9 \frac{9}{12}$
* $9 \times 12 = 108$
* $108 + 9 = 117$
* Answer: $\frac{117}{12}$
*(Note: This can be simplified to $\frac{39}{4}$ or $9 \frac{3}{4}$, but usually, just converting is enough unless asked to simplify).*
18. $11 \frac{5}{6}$
* $11 \times 6 = 66$
* $66 + 5 = 71$
* Answer: $\frac{71}{6}$
Final Answer:
1. 64/7
2. 17/5
3. 23/3
4. 31/6
5. 58/9
6. 13/3
7. 50/11
8. 47/6
9. 25/7
10. 35/4
11. 89/9
12. 85/12
13. 103/8
14. 34/5
15. 97/12
16. 43/4
17. 117/12
18. 71/6
Parent Tip: Review the logic above to help your child master the concept of mixed fractions worksheet 5th grade.