To find equivalent fractions, we need to make sure the top number (numerator) and the bottom number (denominator) are multiplied or divided by the same amount.
Here is the step-by-step solution for each problem:
1) $\frac{2}{5} = \frac{\square}{10} = \frac{\square}{15}$
* To get from 5 to 10, multiply by 2. So, $2 \times 2 = 4$. First box is
4.
* To get from 5 to 15, multiply by 3. So, $2 \times 3 = 6$. Second box is
6.
2) $\frac{3}{5} = \frac{\square}{15} = \frac{\square}{25}$
* To get from 5 to 15, multiply by 3. So, $3 \times 3 = 9$. First box is
9.
* To get from 5 to 25, multiply by 5. So, $3 \times 5 = 15$. Second box is
15.
3) $\frac{5}{9} = \frac{\square}{18} = \frac{\square}{45}$
* To get from 9 to 18, multiply by 2. So, $5 \times 2 = 10$. First box is
10.
* To get from 9 to 45, multiply by 5. So, $5 \times 5 = 25$. Second box is
25.
4) $\frac{1}{6} = \frac{\square}{24} = \frac{\square}{30}$
* To get from 6 to 24, multiply by 4. So, $1 \times 4 = 4$. First box is
4.
* To get from 6 to 30, multiply by 5. So, $1 \times 5 = 5$. Second box is
5.
5) $\frac{4}{9} = \frac{\square}{18} = \frac{\square}{27}$
* To get from 9 to 18, multiply by 2. So, $4 \times 2 = 8$. First box is
8.
* To get from 9 to 27, multiply by 3. So, $4 \times 3 = 12$. Second box is
12.
6) $\frac{1}{4} = \frac{\square}{24} = \frac{\square}{40}$
* To get from 4 to 24, multiply by 6. So, $1 \times 6 = 6$. First box is
6.
* To get from 4 to 40, multiply by 10. So, $1 \times 10 = 10$. Second box is
10.
7) $\frac{2}{3} = \frac{\square}{6} = \frac{\square}{15}$
* To get from 3 to 6, multiply by 2. So, $2 \times 2 = 4$. First box is
4.
* To get from 3 to 15, multiply by 5. So, $2 \times 5 = 10$. Second box is
10.
8) $\frac{2}{7} = \frac{\square}{21} = \frac{\square}{35}$
* To get from 7 to 21, multiply by 3. So, $2 \times 3 = 6$. First box is
6.
* To get from 7 to 35, multiply by 5. So, $2 \times 5 = 10$. Second box is
10.
9) $\frac{5}{12} = \frac{\square}{36} = \frac{\square}{60}$
* To get from 12 to 36, multiply by 3. So, $5 \times 3 = 15$. First box is
15.
* To get from 12 to 60, multiply by 5. So, $5 \times 5 = 25$. Second box is
25.
10) $\frac{6}{11} = \frac{\square}{22} = \frac{\square}{33}$
* To get from 11 to 22, multiply by 2. So, $6 \times 2 = 12$. First box is
12.
* To get from 11 to 33, multiply by 3. So, $6 \times 3 = 18$. Second box is
18.
11) $\frac{4}{15} = \frac{\square}{60} = \frac{\square}{90}$
* To get from 15 to 60, multiply by 4. So, $4 \times 4 = 16$. First box is
16.
* To get from 15 to 90, multiply by 6. So, $4 \times 6 = 24$. Second box is
24.
12) $\frac{3}{10} = \frac{\square}{20} = \frac{\square}{30}$
* To get from 10 to 20, multiply by 2. So, $3 \times 2 = 6$. First box is
6.
* To get from 10 to 30, multiply by 3. So, $3 \times 3 = 9$. Second box is
9.
Final Answer:
1) 4, 6
2) 9, 15
3) 10, 25
4) 4, 5
5) 8, 12
6) 6, 10
7) 4, 10
8) 6, 10
9) 15, 25
10) 12, 18
11) 16, 24
12) 6, 9
Parent Tip: Review the logic above to help your child master the concept of find equivalent fractions worksheet.
