Explanation:
We are converting mixed numbers to improper fractions using the diagrams.
A mixed number has a whole number part and a fraction part (e.g., $2\frac{1}{3}$).
To turn it into an improper fraction:
- Multiply the whole number by the denominator.
- Add the numerator.
- Keep the same denominator.
Let’s go one by one:
1) $2\frac{1}{3}$
→ 2 wholes = $2 \times 3 = 6$ thirds
→ Plus 1 more third = $6 + 1 = 7$
→ So: $\frac{7}{3}$
2) $3\frac{3}{4}$
→ 3 wholes = $3 \times 4 = 12$ fourths
→ Plus 3 fourths = $12 + 3 = 15$
→ So: $\frac{15}{4}$
3) $1\frac{4}{7}$
→ 1 whole = $1 \times 7 = 7$ sevenths
→ Plus 4 = $7 + 4 = 11$
→ So: $\frac{11}{7}$
4) $2\frac{4}{5}$
→ $2 \times 5 = 10$, plus 4 = 14
→ So: $\frac{14}{5}$
5) $2\frac{1}{6}$
→ $2 \times 6 = 12$, plus 1 = 13
→ So: $\frac{13}{6}$
6) $1\frac{7}{8}$
→ $1 \times 8 = 8$, plus 7 = 15
→ So: $\frac{15}{8}$
7) $3\frac{1}{2}$
→ $3 \times 2 = 6$, plus 1 = 7
→ So: $\frac{7}{2}$
8) $2\frac{5}{8}$
→ $2 \times 8 = 16$, plus 5 = 21
→ So: $\frac{21}{8}$
9) $2\frac{2}{7}$
→ $2 \times 7 = 14$, plus 2 = 16
→ So: $\frac{16}{7}$
10) $3\frac{5}{6}$
→ $3 \times 6 = 18$, plus 5 = 23
→ So: $\frac{23}{6}$
11) $1\frac{7}{10}$
→ $1 \times 10 = 10$, plus 7 = 17
→ So: $\frac{17}{10}$
12) $3\frac{7}{8}$
→ $3 \times 8 = 24$, plus 7 = 31
→ So: $\frac{31}{8}$
Double-check each:
- #1: 7/3 ✔️
- #2: 15/4 ✔️
- #3: 11/7 ✔️
- #4: 14/5 ✔️
- #5: 13/6 ✔️
- #6: 15/8 ✔️
- #7: 7/2 ✔️
- #8: 21/8 ✔️
- #9: 16/7 ✔️
- #10: 23/6 ✔️
- #11: 17/10 ✔️
- #12: 31/8 ✔️
All correct.
Final Answer:
1) $\frac{7}{3}$
2) $\frac{15}{4}$
3) $\frac{11}{7}$
4) $\frac{14}{5}$
5) $\frac{13}{6}$
6) $\frac{15}{8}$
7) $\frac{7}{2}$
8) $\frac{21}{8}$
9) $\frac{16}{7}$
10) $\frac{23}{6}$
11) $\frac{17}{10}$
12) $\frac{31}{8}$
Parent Tip: Review the logic above to help your child master the concept of mixed numbers to improper fractions worksheet.
