Fractions online worksheet for GRade 5/ Year 6 - Free Printable

Let's solve each question step by step with clear explanations.

---

Q1. Write the equivalent fraction

We need to find a fraction that is equal in value to the given one, but with a different denominator or numerator.

---

1) $ \frac{3}{3} = \frac{?}{9} $

- $ \frac{3}{3} = 1 $
- So we want $ \frac{x}{9} = 1 $ → $ x = 9 $
- Answer: $ \frac{9}{9} $

✔ Answer: 9

---

2) $ \frac{2}{8} = \frac{?}{32} $

- Multiply numerator and denominator by 4:
$ \frac{2 \times 4}{8 \times 4} = \frac{8}{32} $
- Answer: $ \frac{8}{32} $

✔ Answer: 8

---

3) $ \frac{4}{7} = \frac{?}{28} $

- $ 7 \times 4 = 28 $, so multiply numerator by 4:
$ 4 \times 4 = 16 $
- $ \frac{16}{28} $

✔ Answer: 16

---

4) $ \frac{4}{9} = \frac{?}{45} $

- $ 9 \times 5 = 45 $, so multiply numerator by 5:
$ 4 \times 5 = 20 $
- $ \frac{20}{45} $

✔ Answer: 20

---

5) $ \frac{4}{12} = \frac{?}{3} $

- Simplify $ \frac{4}{12} = \frac{1}{3} $
- So $ \frac{1}{3} = \frac{1}{3} $ → numerator is 1
- Answer: $ \frac{1}{3} $

✔ Answer: 1

---

6) $ \frac{4}{6} = \frac{?}{3} $

- $ \frac{4}{6} = \frac{2}{3} $
- So $ \frac{2}{3} $ → numerator is 2

✔ Answer: 2

---

7) $ \frac{3}{6} = \frac{1}{?} $

- $ \frac{3}{6} = \frac{1}{2} $
- So denominator is 2

✔ Answer: 2

---

8) $ \frac{9}{12} = \frac{?}{4} $

- $ \frac{9}{12} = \frac{3}{4} $ → simplify by dividing both by 3
- So numerator is 3

✔ Answer: 3

---

9) $ \frac{4}{10} = \frac{?}{5} $

- $ \frac{4}{10} = \frac{2}{5} $
- So numerator is 2

✔ Answer: 2

---

10) $ \frac{5}{10} = \frac{?}{2} $

- $ \frac{5}{10} = \frac{1}{2} $
- So numerator is 1

✔ Answer: 1

---

11) $ \frac{4}{16} = \frac{1}{?} $

- $ \frac{4}{16} = \frac{1}{4} $
- So denominator is 4

✔ Answer: 4

---

12) $ \frac{8}{8} = \frac{?}{2} $

- $ \frac{8}{8} = 1 $
- $ \frac{?}{2} = 1 $ → ? = 2

✔ Answer: 2

---

✔ Q1 Answers:

1) 9
2) 8
3) 16
4) 20
5) 1
6) 2
7) 2
8) 3
9) 2
10) 1
11) 4
12) 2

---

Q2. Use < / > / =

Compare fractions.

---

1) $ \frac{3}{7} \quad \boxed{?} \quad \frac{10}{14} $

- Simplify $ \frac{10}{14} = \frac{5}{7} $
- Compare $ \frac{3}{7} $ vs $ \frac{5}{7} $
- Since $ 3 < 5 $, $ \frac{3}{7} < \frac{5}{7} $

✔ Answer: <

---

2) $ \frac{2}{3} \quad \boxed{?} \quad \frac{8}{15} $

- Find common denominator: LCM of 3 and 15 is 15
- $ \frac{2}{3} = \frac{10}{15} $
- $ \frac{8}{15} $
- $ 10 > 8 $, so $ \frac{2}{3} > \frac{8}{15} $

✔ Answer: >

---

3) $ \frac{1}{2} \quad \boxed{?} \quad \frac{12}{20} $

- $ \frac{12}{20} = \frac{3}{5} $
- $ \frac{1}{2} = 0.5 $, $ \frac{3}{5} = 0.6 $
- $ 0.5 < 0.6 $ → $ \frac{1}{2} < \frac{12}{20} $

✔ Answer: <

---

4) $ \frac{4}{5} \quad \boxed{?} \quad \frac{16}{20} $

- $ \frac{16}{20} = \frac{4}{5} $ (divide numerator and denominator by 4)
- So they are equal

✔ Answer: =

---

✔ Q2 Answers:

1) <
2) >
3) <
4) =

---

Q3. Simplify each fraction

Find GCD and divide both numerator and denominator.

---

a) $ \frac{28}{49} $

- GCD of 28 and 49 is 7
- $ \frac{28 ÷ 7}{49 ÷ 7} = \frac{4}{7} $

✔ $ \frac{4}{7} $

---

b) $ \frac{12}{20} $

- GCD = 4
- $ \frac{12 ÷ 4}{20 ÷ 4} = \frac{3}{5} $

✔ $ \frac{3}{5} $

---

c) $ \frac{24}{42} $

- GCD = 6
- $ \frac{24 ÷ 6}{42 ÷ 6} = \frac{4}{7} $

✔ $ \frac{4}{7} $

---

d) $ \frac{13}{39} $

- GCD = 13
- $ \frac{13 ÷ 13}{39 ÷ 13} = \frac{1}{3} $

✔ $ \frac{1}{3} $

---

e) $ \frac{32}{36} $

- GCD = 4
- $ \frac{32 ÷ 4}{36 ÷ 4} = \frac{8}{9} $

✔ $ \frac{8}{9} $

---

f) $ \frac{9}{15} $

- GCD = 3
- $ \frac{9 ÷ 3}{15 ÷ 3} = \frac{3}{5} $

✔ $ \frac{3}{5} $

---

g) $ \frac{16}{48} $

- GCD = 16
- $ \frac{16 ÷ 16}{48 ÷ 16} = \frac{1}{3} $

✔ $ \frac{1}{3} $

---

h) $ \frac{15}{55} $

- GCD = 5
- $ \frac{15 ÷ 5}{55 ÷ 5} = \frac{3}{11} $

✔ $ \frac{3}{11} $

---

✔ Q3 Answers:

a) $ \frac{4}{7} $
b) $ \frac{3}{5} $
c) $ \frac{4}{7} $
d) $ \frac{1}{3} $
e) $ \frac{8}{9} $
f) $ \frac{3}{5} $
g) $ \frac{1}{3} $
h) $ \frac{3}{11} $

---

Q4. Answer the following

a. Raneem completed $ \frac{5}{6} $ of the math homework and Sara completed $ \frac{4}{5} $. Who did more?

We compare $ \frac{5}{6} $ and $ \frac{4}{5} $

#### Method: Cross-multiply
- $ \frac{5}{6} $ vs $ \frac{4}{5} $
- $ 5 \times 5 = 25 $
- $ 4 \times 6 = 24 $
- Since 25 > 24, $ \frac{5}{6} > \frac{4}{5} $

So Raneem did more.

✔ Answer: Raneem did more of the homework.

---

✔ Final Answers Summary:

---

Q1. Equivalent Fractions

1) 9
2) 8
3) 16
4) 20
5) 1
6) 2
7) 2
8) 3
9) 2
10) 1
11) 4
12) 2

---

Q2. Compare

1) <
2) >
3) <
4) =

---

Q3. Simplify

a) $ \frac{4}{7} $
b) $ \frac{3}{5} $
c) $ \frac{4}{7} $
d) $ \frac{1}{3} $
e) $ \frac{8}{9} $
f) $ \frac{3}{5} $
g) $ \frac{1}{3} $
h) $ \frac{3}{11} $

---

Q4. Word Problem

a) Raneem did more of the homework.

---

Let me know if you'd like this formatted as a printable answer sheet!