Dividing Decimals Worksheet | Teacher-Made Resource - Free Printable

Problem: Division Practice with Decimals

The task involves solving a series of division problems involving decimals. Below is the step-by-step solution for each problem.

---

#### 1. \( 3 \div 3.9 \)
To solve \( 3 \div 3.9 \):
- Rewrite the division as \( \frac{3}{3.9} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{3}{3.9} = \frac{3 \times 10}{3.9 \times 10} = \frac{30}{39}
\]
- Simplify the fraction:
\[
\frac{30}{39} = \frac{10}{13} \approx 0.7692
\]

Answer: \( \boxed{0.7692} \)

---

#### 2. \( 3 \div 4.5 \)
To solve \( 3 \div 4.5 \):
- Rewrite the division as \( \frac{3}{4.5} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{3}{4.5} = \frac{3 \times 10}{4.5 \times 10} = \frac{30}{45}
\]
- Simplify the fraction:
\[
\frac{30}{45} = \frac{2}{3} \approx 0.6667
\]

Answer: \( \boxed{0.6667} \)

---

#### 3. \( 3 \div 8.4 \)
To solve \( 3 \div 8.4 \):
- Rewrite the division as \( \frac{3}{8.4} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{3}{8.4} = \frac{3 \times 10}{8.4 \times 10} = \frac{30}{84}
\]
- Simplify the fraction:
\[
\frac{30}{84} = \frac{5}{14} \approx 0.3571
\]

Answer: \( \boxed{0.3571} \)

---

#### 4. \( 3 \div 5.7 \)
To solve \( 3 \div 5.7 \):
- Rewrite the division as \( \frac{3}{5.7} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{3}{5.7} = \frac{3 \times 10}{5.7 \times 10} = \frac{30}{57}
\]
- Simplify the fraction:
\[
\frac{30}{57} = \frac{10}{19} \approx 0.5263
\]

Answer: \( \boxed{0.5263} \)

---

#### 5. \( 4 \div 7.2 \)
To solve \( 4 \div 7.2 \):
- Rewrite the division as \( \frac{4}{7.2} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{4}{7.2} = \frac{4 \times 10}{7.2 \times 10} = \frac{40}{72}
\]
- Simplify the fraction:
\[
\frac{40}{72} = \frac{5}{9} \approx 0.5556
\]

Answer: \( \boxed{0.5556} \)

---

#### 6. \( 4 \div 9.6 \)
To solve \( 4 \div 9.6 \):
- Rewrite the division as \( \frac{4}{9.6} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{4}{9.6} = \frac{4 \times 10}{9.6 \times 10} = \frac{40}{96}
\]
- Simplify the fraction:
\[
\frac{40}{96} = \frac{5}{12} \approx 0.4167
\]

Answer: \( \boxed{0.4167} \)

---

#### 7. \( 4 \div 9.2 \)
To solve \( 4 \div 9.2 \):
- Rewrite the division as \( \frac{4}{9.2} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{4}{9.2} = \frac{4 \times 10}{9.2 \times 10} = \frac{40}{92}
\]
- Simplify the fraction:
\[
\frac{40}{92} = \frac{10}{23} \approx 0.4348
\]

Answer: \( \boxed{0.4348} \)

---

#### 8. \( 4 \div 7.6 \)
To solve \( 4 \div 7.6 \):
- Rewrite the division as \( \frac{4}{7.6} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{4}{7.6} = \frac{4 \times 10}{7.6 \times 10} = \frac{40}{76}
\]
- Simplify the fraction:
\[
\frac{40}{76} = \frac{10}{19} \approx 0.5263
\]

Answer: \( \boxed{0.5263} \)

---

#### 9. \( 5 \div 6.5 \)
To solve \( 5 \div 6.5 \):
- Rewrite the division as \( \frac{5}{6.5} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{5}{6.5} = \frac{5 \times 10}{6.5 \times 10} = \frac{50}{65}
\]
- Simplify the fraction:
\[
\frac{50}{65} = \frac{10}{13} \approx 0.7692
\]

Answer: \( \boxed{0.7692} \)

---

#### 10. \( 5 \div 9.5 \)
To solve \( 5 \div 9.5 \):
- Rewrite the division as \( \frac{5}{9.5} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{5}{9.5} = \frac{5 \times 10}{9.5 \times 10} = \frac{50}{95}
\]
- Simplify the fraction:
\[
\frac{50}{95} = \frac{10}{19} \approx 0.5263
\]

Answer: \( \boxed{0.5263} \)

---

#### 11. \( 5 \div 9.0 \)
To solve \( 5 \div 9.0 \):
- Rewrite the division as \( \frac{5}{9.0} \).
- Since the denominator is already a whole number, proceed directly:
\[
\frac{5}{9} \approx 0.5556
\]

Answer: \( \boxed{0.5556} \)

---

#### 12. \( 5 \div 8.0 \)
To solve \( 5 \div 8.0 \):
- Rewrite the division as \( \frac{5}{8.0} \).
- Since the denominator is already a whole number, proceed directly:
\[
\frac{5}{8} = 0.625
\]

Answer: \( \boxed{0.625} \)

---

#### 13. \( 6 \div 8.4 \)
To solve \( 6 \div 8.4 \):
- Rewrite the division as \( \frac{6}{8.4} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{6}{8.4} = \frac{6 \times 10}{8.4 \times 10} = \frac{60}{84}
\]
- Simplify the fraction:
\[
\frac{60}{84} = \frac{5}{7} \approx 0.7143
\]

Answer: \( \boxed{0.7143} \)

---

#### 14. \( 6 \div 9.6 \)
To solve \( 6 \div 9.6 \):
- Rewrite the division as \( \frac{6}{9.6} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{6}{9.6} = \frac{6 \times 10}{9.6 \times 10} = \frac{60}{96}
\]
- Simplify the fraction:
\[
\frac{60}{96} = \frac{5}{8} = 0.625
\]

Answer: \( \boxed{0.625} \)

---

#### 15. \( 6 \div 7.2 \)
To solve \( 6 \div 7.2 \):
- Rewrite the division as \( \frac{6}{7.2} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{6}{7.2} = \frac{6 \times 10}{7.2 \times 10} = \frac{60}{72}
\]
- Simplify the fraction:
\[
\frac{60}{72} = \frac{5}{6} \approx 0.8333
\]

Answer: \( \boxed{0.8333} \)

---

#### 16. \( 6 \div 9.0 \)
To solve \( 6 \div 9.0 \):
- Rewrite the division as \( \frac{6}{9.0} \).
- Since the denominator is already a whole number, proceed directly:
\[
\frac{6}{9} = \frac{2}{3} \approx 0.6667
\]

Answer: \( \boxed{0.6667} \)

---

#### 17. \( 7 \div 8.4 \)
To solve \( 7 \div 8.4 \):
- Rewrite the division as \( \frac{7}{8.4} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{7}{8.4} = \frac{7 \times 10}{8.4 \times 10} = \frac{70}{84}
\]
- Simplify the fraction:
\[
\frac{70}{84} = \frac{5}{6} \approx 0.8333
\]

Answer: \( \boxed{0.8333} \)

---

#### 18. \( 7 \div 9.8 \)
To solve \( 7 \div 9.8 \):
- Rewrite the division as \( \frac{7}{9.8} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{7}{9.8} = \frac{7 \times 10}{9.8 \times 10} = \frac{70}{98}
\]
- Simplify the fraction:
\[
\frac{70}{98} = \frac{5}{7} \approx 0.7143
\]

Answer: \( \boxed{0.7143} \)

---

#### 19. \( 7 \div 9.1 \)
To solve \( 7 \div 9.1 \):
- Rewrite the division as \( \frac{7}{9.1} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{7}{9.1} = \frac{7 \times 10}{9.1 \times 10} = \frac{70}{91}
\]
- Simplify the fraction:
\[
\frac{70}{91} = \frac{10}{13} \approx 0.7692
\]

Answer: \( \boxed{0.7692} \)

---

#### 20. \( 8 \div 9.6 \)
To solve \( 8 \div 9.6 \):
- Rewrite the division as \( \frac{8}{9.6} \).
- Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{8}{9.6} = \frac{8 \times 10}{9.6 \times 10} = \frac{80}{96}
\]
- Simplify the fraction:
\[
\frac{80}{96} = \frac{5}{6} \approx 0.8333
\]

Answer: \( \boxed{0.8333} \)

---

#### 21. \( 8.4 \div 4 \)
To solve \( 8.4 \div 4 \):
- Perform the division directly:
\[
8.4 \div 4 = 2.1
\]

Answer: \( \boxed{2.1} \)

---

#### 22. \( 7.8 \div 6 \)
To solve \( 7.8 \div 6 \):
- Perform the division directly:
\[
7.8 \div 6 = 1.3
\]

Answer: \( \boxed{1.3} \)

---

#### 23. \( 7.8 \div 3 \)
To solve \( 7.8 \div 3 \):
- Perform the division directly:
\[
7.8 \div 3 = 2.6
\]

Answer: \( \boxed{2.6} \)

---

#### 24. \( 6.4 \div 4 \)
To solve \( 6.4 \div 4 \):
- Perform the division directly:
\[
6.4 \div 4 = 1.6
\]

Answer: \( \boxed{1.6} \)

---

#### 25. \( 8.7 \div 3 \)
To solve \( 8.7 \div 3 \):
- Perform the division directly:
\[
8.7 \div 3 = 2.9
\]

Answer: \( \boxed{2.9} \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 0.7692 \\
2. & 0.6667 \\
3. & 0.3571 \\
4. & 0.5263 \\
5. & 0.5556 \\
6. & 0.4167 \\
7. & 0.4348 \\
8. & 0.5263 \\
9. & 0.7692 \\
10. & 0.5263 \\
11. & 0.5556 \\
12. & 0.625 \\
13. & 0.7143 \\
14. & 0.625 \\
15. & 0.8333 \\
16. & 0.6667 \\
17. & 0.8333 \\
18. & 0.7143 \\
19. & 0.7692 \\
20. & 0.8333 \\
21. & 2.1 \\
22. & 1.3 \\
23. & 2.6 \\
24. & 1.6 \\
25. & 2.9 \\
\end{array}
}
\]