Fraction Worksheets for Class 6, 7, and 8 - Download PDF - Free Printable

To solve this worksheet, we need to find the missing numbers that make the fractions equivalent. Equivalent fractions are different ways of writing the same part of a whole. To find the missing number, we look at how the top number (numerator) or bottom number (denominator) changes and apply that same change to the other part.

Here is the step-by-step solution for each problem:

1) $\frac{5}{10} = \frac{?}{90}$
* Look at the bottom numbers: $10$ to $90$. We multiplied by $9$ ($10 \times 9 = 90$).
* Do the same to the top: $5 \times 9 = 45$.
* Answer: 45

2) $\frac{2}{4} = \frac{?}{20}$
* Look at the bottom numbers: $4$ to $20$. We multiplied by $5$ ($4 \times 5 = 20$).
* Do the same to the top: $2 \times 5 = 10$.
* Answer: 10

3) $\frac{3}{7} = \frac{?}{28}$
* Look at the bottom numbers: $7$ to $28$. We multiplied by $4$ ($7 \times 4 = 28$).
* Do the same to the top: $3 \times 4 = 12$.
* Answer: 12

4) $\frac{?}{15} = \frac{8}{3}$
* Look at the bottom numbers: $3$ to $15$. We multiplied by $5$ ($3 \times 5 = 15$).
* Do the same to the top: $8 \times 5 = 40$.
* Answer: 40

5) $\frac{9}{2} = \frac{?}{40}$
* Look at the bottom numbers: $2$ to $40$. We multiplied by $20$ ($2 \times 20 = 40$).
* Do the same to the top: $9 \times 20 = 180$.
* Answer: 180

6) $\frac{6}{?} = \frac{30}{45}$
* Look at the top numbers: $6$ to $30$. We multiplied by $5$ ($6 \times 5 = 30$).
* Do the same to the bottom: $45 \div 5 = 9$.
* Answer: 9

7) $\frac{?}{27} = \frac{7}{9}$
* Look at the bottom numbers: $9$ to $27$. We multiplied by $3$ ($9 \times 3 = 27$).
* Do the same to the top: $7 \times 3 = 21$.
* Answer: 21

8) $\frac{39}{12} = \frac{13}{?}$
* Look at the top numbers: $39$ to $13$. We divided by $3$ ($39 \div 3 = 13$).
* Do the same to the bottom: $12 \div 3 = 4$.
* Answer: 4

9) $\frac{10}{3} = \frac{?}{27}$
* Look at the bottom numbers: $3$ to $27$. We multiplied by $9$ ($3 \times 9 = 27$).
* Do the same to the top: $10 \times 9 = 90$.
* Answer: 90

10) $\frac{1}{6} = \frac{?}{54}$
* Look at the bottom numbers: $6$ to $54$. We multiplied by $9$ ($6 \times 9 = 54$).
* Do the same to the top: $1 \times 9 = 9$.
* Answer: 9

11) $\frac{4}{4} = \frac{?}{12}$
* Look at the bottom numbers: $4$ to $12$. We multiplied by $3$ ($4 \times 3 = 12$).
* Do the same to the top: $4 \times 3 = 12$.
* Answer: 12

12) $\frac{1}{2} = \frac{5}{?}$
* Look at the top numbers: $1$ to $5$. We multiplied by $5$ ($1 \times 5 = 5$).
* Do the same to the bottom: $2 \times 5 = 10$.
* Answer: 10

13) $\frac{4}{12} = \frac{?}{6}$
* Look at the bottom numbers: $12$ to $6$. We divided by $2$ ($12 \div 2 = 6$).
* Do the same to the top: $4 \div 2 = 2$.
* Answer: 2

14) $\frac{1}{4} = \frac{?}{48}$
* Look at the bottom numbers: $4$ to $48$. We multiplied by $12$ ($4 \times 12 = 48$).
* Do the same to the top: $1 \times 12 = 12$.
* Answer: 12

15) $\frac{1}{7} = \frac{?}{28}$
* Look at the bottom numbers: $7$ to $28$. We multiplied by $4$ ($7 \times 4 = 28$).
* Do the same to the top: $1 \times 4 = 4$.
* Answer: 4

Final Answer:
1) 45
2) 10
3) 12
4) 40
5) 180
6) 9
7) 21
8) 4
9) 90
10) 9
11) 12
12) 10
13) 2
14) 12
15) 4