Equivalent Fractions worksheet with 12 exercises to find missing numerators and denominators.
Worksheet titled "Equivalent Fractions" with 12 problems to complete equivalent fractions using multiplication.
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Step-by-step solution for: Equivalent Fractions Worksheets - 15 Worksheets Library
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Show Answer Key & Explanations
Step-by-step solution for: Equivalent Fractions Worksheets - 15 Worksheets Library
To find equivalent fractions, we need to figure out what number the top (numerator) and bottom (denominator) of the fraction were multiplied by. Whatever you do to the bottom, you must also do to the top.
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, $2 \times 2 = 4$. The first box is 4.
* To get from 5 to 15, multiply by 3. So, $2 \times 3 = 6$. The second box is 6.
2) $\frac{3}{5} = \frac{\square}{15} = \frac{\square}{25}$
* To get from 5 to 15, multiply by 3. So, $3 \times 3 = 9$. The first box is 9.
* To get from 5 to 25, multiply by 5. So, $3 \times 5 = 15$. The second box is 15.
3) $\frac{5}{9} = \frac{\square}{18} = \frac{\square}{45}$
* To get from 9 to 18, multiply by 2. So, $5 \times 2 = 10$. The first box is 10.
* To get from 9 to 45, multiply by 5. So, $5 \times 5 = 25$. The second box is 25.
4) $\frac{1}{6} = \frac{\square}{24} = \frac{\square}{30}$
* To get from 6 to 24, multiply by 4. So, $1 \times 4 = 4$. The first box is 4.
* To get from 6 to 30, multiply by 5. So, $1 \times 5 = 5$. The second box is 5.
5) $\frac{4}{9} = \frac{\square}{18} = \frac{\square}{27}$
* To get from 9 to 18, multiply by 2. So, $4 \times 2 = 8$. The first box is 8.
* To get from 9 to 27, multiply by 3. So, $4 \times 3 = 12$. The second box is 12.
6) $\frac{1}{4} = \frac{\square}{24} = \frac{\square}{40}$
* To get from 4 to 24, multiply by 6. So, $1 \times 6 = 6$. The first box is 6.
* To get from 4 to 40, multiply by 10. So, $1 \times 10 = 10$. The second box is 10.
7) $\frac{2}{3} = \frac{\square}{6} = \frac{\square}{15}$
* To get from 3 to 6, multiply by 2. So, $2 \times 2 = 4$. The first box is 4.
* To get from 3 to 15, multiply by 5. So, $2 \times 5 = 10$. The second box is 10.
8) $\frac{2}{7} = \frac{\square}{21} = \frac{\square}{35}$
* To get from 7 to 21, multiply by 3. So, $2 \times 3 = 6$. The first box is 6.
* To get from 7 to 35, multiply by 5. So, $2 \times 5 = 10$. The second box is 10.
9) $\frac{5}{12} = \frac{\square}{36} = \frac{\square}{60}$
* To get from 12 to 36, multiply by 3. So, $5 \times 3 = 15$. The first box is 15.
* To get from 12 to 60, multiply by 5. So, $5 \times 5 = 25$. The second box is 25.
10) $\frac{6}{11} = \frac{\square}{22} = \frac{\square}{33}$
* To get from 11 to 22, multiply by 2. So, $6 \times 2 = 12$. The first box is 12.
* To get from 11 to 33, multiply by 3. So, $6 \times 3 = 18$. The second box is 18.
11) $\frac{4}{15} = \frac{\square}{60} = \frac{\square}{90}$
* To get from 15 to 60, multiply by 4. So, $4 \times 4 = 16$. The first box is 16.
* To get from 15 to 90, multiply by 6. So, $4 \times 6 = 24$. The second box is 24.
12) $\frac{3}{10} = \frac{\square}{20} = \frac{\square}{30}$
* To get from 10 to 20, multiply by 2. So, $3 \times 2 = 6$. The first box is 6.
* To get from 10 to 30, multiply by 3. So, $3 \times 3 = 9$. The 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
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, $2 \times 2 = 4$. The first box is 4.
* To get from 5 to 15, multiply by 3. So, $2 \times 3 = 6$. The second box is 6.
2) $\frac{3}{5} = \frac{\square}{15} = \frac{\square}{25}$
* To get from 5 to 15, multiply by 3. So, $3 \times 3 = 9$. The first box is 9.
* To get from 5 to 25, multiply by 5. So, $3 \times 5 = 15$. The second box is 15.
3) $\frac{5}{9} = \frac{\square}{18} = \frac{\square}{45}$
* To get from 9 to 18, multiply by 2. So, $5 \times 2 = 10$. The first box is 10.
* To get from 9 to 45, multiply by 5. So, $5 \times 5 = 25$. The second box is 25.
4) $\frac{1}{6} = \frac{\square}{24} = \frac{\square}{30}$
* To get from 6 to 24, multiply by 4. So, $1 \times 4 = 4$. The first box is 4.
* To get from 6 to 30, multiply by 5. So, $1 \times 5 = 5$. The second box is 5.
5) $\frac{4}{9} = \frac{\square}{18} = \frac{\square}{27}$
* To get from 9 to 18, multiply by 2. So, $4 \times 2 = 8$. The first box is 8.
* To get from 9 to 27, multiply by 3. So, $4 \times 3 = 12$. The second box is 12.
6) $\frac{1}{4} = \frac{\square}{24} = \frac{\square}{40}$
* To get from 4 to 24, multiply by 6. So, $1 \times 6 = 6$. The first box is 6.
* To get from 4 to 40, multiply by 10. So, $1 \times 10 = 10$. The second box is 10.
7) $\frac{2}{3} = \frac{\square}{6} = \frac{\square}{15}$
* To get from 3 to 6, multiply by 2. So, $2 \times 2 = 4$. The first box is 4.
* To get from 3 to 15, multiply by 5. So, $2 \times 5 = 10$. The second box is 10.
8) $\frac{2}{7} = \frac{\square}{21} = \frac{\square}{35}$
* To get from 7 to 21, multiply by 3. So, $2 \times 3 = 6$. The first box is 6.
* To get from 7 to 35, multiply by 5. So, $2 \times 5 = 10$. The second box is 10.
9) $\frac{5}{12} = \frac{\square}{36} = \frac{\square}{60}$
* To get from 12 to 36, multiply by 3. So, $5 \times 3 = 15$. The first box is 15.
* To get from 12 to 60, multiply by 5. So, $5 \times 5 = 25$. The second box is 25.
10) $\frac{6}{11} = \frac{\square}{22} = \frac{\square}{33}$
* To get from 11 to 22, multiply by 2. So, $6 \times 2 = 12$. The first box is 12.
* To get from 11 to 33, multiply by 3. So, $6 \times 3 = 18$. The second box is 18.
11) $\frac{4}{15} = \frac{\square}{60} = \frac{\square}{90}$
* To get from 15 to 60, multiply by 4. So, $4 \times 4 = 16$. The first box is 16.
* To get from 15 to 90, multiply by 6. So, $4 \times 6 = 24$. The second box is 24.
12) $\frac{3}{10} = \frac{\square}{20} = \frac{\square}{30}$
* To get from 10 to 20, multiply by 2. So, $3 \times 2 = 6$. The first box is 6.
* To get from 10 to 30, multiply by 3. So, $3 \times 3 = 9$. The 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 equivalent fractions worksheet grade 3.
