Fractions Worksheets | Printable Fractions Worksheets for Teachers - Free Printable

You’ve uploaded a worksheet titled “Reducing Fractions”. The goal is to simplify each fraction to its lowest terms — that is, divide both the numerator and denominator by their greatest common divisor (GCD) until no further simplification is possible.

---

✔ How to Reduce a Fraction:
1. Find the GCD of the numerator and denominator.
2. Divide both the numerator and denominator by the GCD.
3. Write the simplified fraction.

---

Here’s the complete solution for all 30 problems:

---

Answer Key:

1) $\frac{10}{20} = \frac{1}{2}$
*(GCD of 10 and 20 is 10 → 10÷10=1, 20÷10=2)*

2) $\frac{20}{70} = \frac{2}{7}$
*(GCD of 20 and 70 is 10 → 20÷10=2, 70÷10=7)*

3) $\frac{3}{12} = \frac{1}{4}$
*(GCD of 3 and 12 is 3 → 3÷3=1, 12÷3=4)*

4) $\frac{4}{18} = \frac{2}{9}$
*(GCD of 4 and 18 is 2 → 4÷2=2, 18÷2=9)*

5) $\frac{16}{80} = \frac{1}{5}$
*(GCD of 16 and 80 is 16 → 16÷16=1, 80÷16=5)*

6) $\frac{40}{48} = \frac{5}{6}$
*(GCD of 40 and 48 is 8 → 40÷8=5, 48÷8=6)*

7) $\frac{48}{54} = \frac{8}{9}$
*(GCD of 48 and 54 is 6 → 48÷6=8, 54÷6=9)*

8) $\frac{6}{9} = \frac{2}{3}$
*(GCD of 6 and 9 is 3 → 6÷3=2, 9÷3=3)*

9) $\frac{4}{20} = \frac{1}{5}$
*(GCD of 4 and 20 is 4 → 4÷4=1, 20÷4=5)*

10) $\frac{9}{15} = \frac{3}{5}$
*(GCD of 9 and 15 is 3 → 9÷3=3, 15÷3=5)*

---

11) $\frac{50}{100} = \frac{1}{2}$
*(GCD of 50 and 100 is 50 → 50÷50=1, 100÷50=2)*

12) $\frac{30}{40} = \frac{3}{4}$
*(GCD of 30 and 40 is 10 → 30÷10=3, 40÷10=4)*

13) $\frac{18}{24} = \frac{3}{4}$
*(GCD of 18 and 24 is 6 → 18÷6=3, 24÷6=4)*

14) $\frac{2}{12} = \frac{1}{6}$
*(GCD of 2 and 12 is 2 → 2÷2=1, 12÷2=6)*

15) $\frac{5}{35} = \frac{1}{7}$
*(GCD of 5 and 35 is 5 → 5÷5=1, 35÷5=7)*

16) $\frac{21}{35} = \frac{3}{5}$
*(GCD of 21 and 35 is 7 → 21÷7=3, 35÷7=5)*

17) $\frac{12}{18} = \frac{2}{3}$
*(GCD of 12 and 18 is 6 → 12÷6=2, 18÷6=3)*

18) $\frac{7}{14} = \frac{1}{2}$
*(GCD of 7 and 14 is 7 → 7÷7=1, 14÷7=2)*

19) $\frac{35}{40} = \frac{7}{8}$
*(GCD of 35 and 40 is 5 → 35÷5=7, 40÷5=8)*

20) $\frac{21}{30} = \frac{7}{10}$
*(GCD of 21 and 30 is 3 → 21÷3=7, 30÷3=10)*

---

21) $\frac{10}{40} = \frac{1}{4}$
*(GCD of 10 and 40 is 10 → 10÷10=1, 40÷10=4)*

22) $\frac{3}{6} = \frac{1}{2}$
*(GCD of 3 and 6 is 3 → 3÷3=1, 6÷3=2)*

23) $\frac{10}{20} = \frac{1}{2}$
*(Same as #1)*

24) $\frac{14}{49} = \frac{2}{7}$
*(GCD of 14 and 49 is 7 → 14÷7=2, 49÷7=7)*

25) $\frac{21}{27} = \frac{7}{9}$
*(GCD of 21 and 27 is 3 → 21÷3=7, 27÷3=9)*

26) $\frac{9}{15} = \frac{3}{5}$
*(Same as #10)*

27) $\frac{10}{40} = \frac{1}{4}$
*(Same as #21)*

28) $\frac{20}{30} = \frac{2}{3}$
*(GCD of 20 and 30 is 10 → 20÷10=2, 30÷10=3)*

29) $\frac{5}{10} = \frac{1}{2}$
*(GCD of 5 and 10 is 5 → 5÷5=1, 10÷5=2)*

30) $\frac{25}{35} = \frac{5}{7}$
*(GCD of 25 and 35 is 5 → 25÷5=5, 35÷5=7)*

---

✔ Final Answer Summary (in order):

1) $\frac{1}{2}$
2) $\frac{2}{7}$
3) $\frac{1}{4}$
4) $\frac{2}{9}$
5) $\frac{1}{5}$
6) $\frac{5}{6}$
7) $\frac{8}{9}$
8) $\frac{2}{3}$
9) $\frac{1}{5}$
10) $\frac{3}{5}$
11) $\frac{1}{2}$
12) $\frac{3}{4}$
13) $\frac{3}{4}$
14) $\frac{1}{6}$
15) $\frac{1}{7}$
16) $\frac{3}{5}$
17) $\frac{2}{3}$
18) $\frac{1}{2}$
19) $\frac{7}{8}$
20) $\frac{7}{10}$
21) $\frac{1}{4}$
22) $\frac{1}{2}$
23) $\frac{1}{2}$
24) $\frac{2}{7}$
25) $\frac{7}{9}$
26) $\frac{3}{5}$
27) $\frac{1}{4}$
28) $\frac{2}{3}$
29) $\frac{1}{2}$
30) $\frac{5}{7}$

---

📌 Tip for Students: Always check if you can divide numerator and denominator by 2, 3, 5, or other small primes first. If both numbers are even → divide by 2. If digits add to multiple of 3 → try dividing by 3. If ends in 0 or 5 → try 5.

Let me know if you’d like a printable version or step-by-step breakdowns for any specific problem!