To convert an improper fraction to a mixed number, divide the numerator (top number) by the denominator (bottom number). The quotient becomes the whole number, the remainder becomes the new numerator, and the denominator stays the same.
Let's solve each problem step by step:
1.
10/3: 10 ÷ 3 = 3 with a remainder of 1. So, the mixed number is
3 1/3.
2.
11/2: 11 ÷ 2 = 5 with a remainder of 1. So, the mixed number is
5 1/2.
3.
14/4: 14 ÷ 4 = 3 with a remainder of 2. This gives 3 2/4, which simplifies to
3 1/2.
4.
27/6: 27 ÷ 6 = 4 with a remainder of 3. This gives 4 3/6, which simplifies to
4 1/2.
5.
34/3: 34 ÷ 3 = 11 with a remainder of 1. So, the mixed number is
11 1/3.
6.
49/5: 49 ÷ 5 = 9 with a remainder of 4. So, the mixed number is
9 4/5.
7.
23/8: 23 ÷ 8 = 2 with a remainder of 7. So, the mixed number is
2 7/8.
8.
47/10: 47 ÷ 10 = 4 with a remainder of 7. So, the mixed number is
4 7/10.
9.
38/9: 38 ÷ 9 = 4 with a remainder of 2. So, the mixed number is
4 2/9.
10.
35/11: 35 ÷ 11 = 3 with a remainder of 2. So, the mixed number is
3 2/11.
Final Answer:
1. 3 1/3
2. 5 1/2
3. 3 1/2
4. 4 1/2
5. 11 1/3
6. 9 4/5
7. 2 7/8
8. 4 7/10
9. 4 2/9
10. 3 2/11
Parent Tip: Review the logic above to help your child master the concept of improper fractions to mixed numbers worksheet 5th grade.