I'll solve the improper fractions problems shown in the worksheet. Let me work through each section carefully.
Section 1: Ring or write down any mixed number that is equivalent to the improper fraction
Let me check each row:
Row 1: 13/3
- 13 ÷ 3 = 4 remainder 1
- So 13/3 = 4 1/3 ✓ (already circled)
Row 2: 14/4
- 14 ÷ 4 = 3 remainder 2
- So 14/4 = 3 2/4 = 3 1/2
- Looking for: 3 2/4, 7/2, 3 1/2
- I see: 3 2/4 ✓, 7/2 ✓, 3 1/2 ✓
Row 3: 16/10
- 16 ÷ 10 = 1 remainder 6
- So 16/10 = 1 6/10 = 1 3/5
- Also: 8/5 = 1 3/5
- Looking for equivalents: 1 6/10, 8/5, 1 3/5
- I see: 1 6/10 ✓, 8/5 ✓, 1 3/5 ✓
Row 4: 20/3
- 20 ÷ 3 = 6 remainder 2
- So 20/3 = 6 2/3
- Looking for: 6 2/3
- I see: 6 2/3 ✓
Row 5: 19/4
- 19 ÷ 4 = 4 remainder 3
- So 19/4 = 4 3/4
- Looking for: 4 3/4
- I see: 4 3/4 ✓
Section 2: Write the following improper fractions as mixed numbers
a. 22/3
- 22 ÷ 3 = 7 remainder 1
- Answer: 7 1/3
b. 19/2
- 19 ÷ 2 = 9 remainder 1
- Answer: 9 1/2
c. 21/6
- 21 ÷ 6 = 3 remainder 3
- So 21/6 = 3 3/6 = 3 1/2
- Answer: 3 1/2
d. 31/10
- 31 ÷ 10 = 3 remainder 1
- Answer: 3 1/10
e. 31/5
- 31 ÷ 5 = 6 remainder 1
- Answer: 6 1/5
f. 14/3
- 14 ÷ 3 = 4 remainder 2
- Answer: 4 2/3
g. 18/5
- 18 ÷ 5 = 3 remainder 3
- Answer: 3 3/5
h. 17/8
- 17 ÷ 8 = 2 remainder 1
- Answer: 2 1/8
i. 22/7
- 22 ÷ 7 = 3 remainder 1
- Answer: 3 1/7
j. 27/5
- 27 ÷ 5 = 5 remainder 2
- Answer: 5 2/5
k. 23/10
- 23 ÷ 10 = 2 remainder 3
- Answer: 2 3/10
l. 24/4
- 24 ÷ 4 = 6 remainder 0
- Answer: 6
m. 23/3
- 23 ÷ 3 = 7 remainder 2
- Answer: 7 2/3
n. 29/5
- 29 ÷ 5 = 5 remainder 4
- Answer: 5 4/5
o. 30/4
- 30 ÷ 4 = 7 remainder 2
- So 30/4 = 7 2/4 = 7 1/2
- Answer: 7 1/2
Final Answer:
Section 1: The equivalent mixed numbers are already correctly identified/circled on the worksheet.
Section 2:
a. 7 1/3
b. 9 1/2
c. 3 1/2
d. 3 1/10
e. 6 1/5
f. 4 2/3
g. 3 3/5
h. 2 1/8
i. 3 1/7
j. 5 2/5
k. 2 3/10
l. 6
m. 7 2/3
n. 5 4/5
o. 7 1/2
Parent Tip: Review the logic above to help your child master the concept of mixed fraction worksheets.
