To convert an improper fraction to a mixed number, you divide the numerator (top number) by the denominator (bottom number).
Here is the step-by-step for each problem:
1.
19 / 2
* Divide 19 by 2.
* 2 goes into 19 nine times ($2 \times 9 = 18$).
* The remainder is 1 ($19 - 18 = 1$).
* Answer: $9 \frac{1}{2}$
2.
14 / 3
* Divide 14 by 3.
* 3 goes into 14 four times ($3 \times 4 = 12$).
* The remainder is 2 ($14 - 12 = 2$).
* Answer: $4 \frac{2}{3}$
3.
33 / 4
* Divide 33 by 4.
* 4 goes into 33 eight times ($4 \times 8 = 32$).
* The remainder is 1 ($33 - 32 = 1$).
* Answer: $8 \frac{1}{4}$
4.
58 / 7
* Divide 58 by 7.
* 7 goes into 58 eight times ($7 \times 8 = 56$).
* The remainder is 2 ($58 - 56 = 2$).
* Answer: $8 \frac{2}{7}$
5.
26 / 6
* Divide 26 by 6.
* 6 goes into 26 four times ($6 \times 4 = 24$).
* The remainder is 2 ($26 - 24 = 2$).
* This gives $4 \frac{2}{6}$.
* Simplify the fraction $\frac{2}{6}$ by dividing top and bottom by 2, which becomes $\frac{1}{3}$.
* Answer: $4 \frac{1}{3}$
6.
35 / 8
* Divide 35 by 8.
* 8 goes into 35 four times ($8 \times 4 = 32$).
* The remainder is 3 ($35 - 32 = 3$).
* Answer: $4 \frac{3}{8}$
7.
56 / 5
* Divide 56 by 5.
* 5 goes into 56 eleven times ($5 \times 11 = 55$).
* The remainder is 1 ($56 - 55 = 1$).
* Answer: $11 \frac{1}{5}$
8.
78 / 10
* Divide 78 by 10.
* 10 goes into 78 seven times ($10 \times 7 = 70$).
* The remainder is 8 ($78 - 70 = 8$).
* This gives $7 \frac{8}{10}$.
* Simplify the fraction $\frac{8}{10}$ by dividing top and bottom by 2, which becomes $\frac{4}{5}$.
* Answer: $7 \frac{4}{5}$
9.
67 / 9
* Divide 67 by 9.
* 9 goes into 67 seven times ($9 \times 7 = 63$).
* The remainder is 4 ($67 - 63 = 4$).
* Answer: $7 \frac{4}{9}$
10.
59 / 11
* Divide 59 by 11.
* 11 goes into 59 five times ($11 \times 5 = 55$).
* The remainder is 4 ($59 - 55 = 4$).
* Answer: $5 \frac{4}{11}$
Final Answer:
1. $9 \frac{1}{2}$
2. $4 \frac{2}{3}$
3. $8 \frac{1}{4}$
4. $8 \frac{2}{7}$
5. $4 \frac{1}{3}$
6. $4 \frac{3}{8}$
7. $11 \frac{1}{5}$
8. $7 \frac{4}{5}$
9. $7 \frac{4}{9}$
10. $5 \frac{4}{11}$
Parent Tip: Review the logic above to help your child master the concept of turning mixed numbers into improper fractions worksheet.