Equivalent Fractions Worksheet #7 for practicing fraction equivalence.
Equivalent Fractions Worksheet #7 with 20 fraction problems for finding equivalent fractions, featuring a star-shaped header and numbered exercises.
JPG
308×398
11.9 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #487265
⭐
Show Answer Key & Explanations
Step-by-step solution for: Equivalent Fraction Worksheets
▼
Show Answer Key & Explanations
Step-by-step solution for: Equivalent Fraction Worksheets
To find the missing numbers in equivalent fractions, we need to figure out what number the top (numerator) and bottom (denominator) were multiplied or divided by. Whatever you do to the top, you must do to the bottom to keep the fraction equal.
Here is the step-by-step solution for each problem:
1. $\frac{1}{2} = \frac{?}{6}$
The denominator went from 2 to 6 ($2 \times 3 = 6$). So, multiply the numerator by 3: $1 \times 3 = 3$.
Answer: 3
2. $\frac{2}{6} = \frac{?}{54}$
The denominator went from 6 to 54 ($6 \times 9 = 54$). So, multiply the numerator by 9: $2 \times 9 = 18$.
Answer: 18
3. $\frac{2}{3} = \frac{8}{?}$
The numerator went from 2 to 8 ($2 \times 4 = 8$). So, multiply the denominator by 4: $3 \times 4 = 12$.
Answer: 12
4. $\frac{3}{5} = \frac{18}{?}$
The numerator went from 3 to 18 ($3 \times 6 = 18$). So, multiply the denominator by 6: $5 \times 6 = 30$.
Answer: 30
5. $\frac{3}{5} = \frac{6}{?}$
The numerator went from 3 to 6 ($3 \times 2 = 6$). So, multiply the denominator by 2: $5 \times 2 = 10$.
Answer: 10
6. $\frac{3}{4} = \frac{21}{?}$
The numerator went from 3 to 21 ($3 \times 7 = 21$). So, multiply the denominator by 7: $4 \times 7 = 28$.
Answer: 28
7. $\frac{2}{?} = \frac{18}{72}$
Look at the numerators: 2 to 18 is multiplying by 9 ($2 \times 9 = 18$). To find the missing denominator, we can divide 72 by 9: $72 \div 9 = 8$.
Answer: 8
8. $\frac{4}{?} = \frac{24}{48}$
Look at the numerators: 4 to 24 is multiplying by 6 ($4 \times 6 = 24$). So, multiply the known denominator part? No, let's look at the relationship between the two fractions. $\frac{24}{48}$ simplifies to $\frac{1}{2}$. If $\frac{4}{x} = \frac{1}{2}$, then $4 \times 2 = 8$. Alternatively, $24 \div 6 = 4$, so $48 \div 6 = 8$.
Answer: 8
9. $\frac{6}{8} = \frac{?}{24}$
The denominator went from 8 to 24 ($8 \times 3 = 24$). So, multiply the numerator by 3: $6 \times 3 = 18$.
Answer: 18
10. $\frac{2}{3} = \frac{6}{?}$
The numerator went from 2 to 6 ($2 \times 3 = 6$). So, multiply the denominator by 3: $3 \times 3 = 9$.
Answer: 9
11. $\frac{?}{8} = \frac{21}{56}$
Look at the denominators: 8 to 56 is multiplying by 7 ($8 \times 7 = 56$). So, divide the numerator 21 by 7: $21 \div 7 = 3$.
Answer: 3
12. $\frac{?}{6} = \frac{30}{60}$
Simplify $\frac{30}{60}$ to $\frac{1}{2}$. If $\frac{x}{6} = \frac{1}{2}$, then $6 \div 2 = 3$. Or, $60 \div 10 = 6$, so $30 \div 10 = 3$.
Answer: 3
13. $\frac{2}{6} = \frac{8}{?}$
The numerator went from 2 to 8 ($2 \times 4 = 8$). So, multiply the denominator by 4: $6 \times 4 = 24$.
Answer: 24
14. $\frac{3}{?} = \frac{27}{54}$
Simplify $\frac{27}{54}$ to $\frac{1}{2}$. If $\frac{3}{x} = \frac{1}{2}$, then $3 \times 2 = 6$. Or, $27 \div 9 = 3$, so $54 \div 9 = 6$.
Answer: 6
15. $\frac{3}{4} = \frac{9}{?}$
The numerator went from 3 to 9 ($3 \times 3 = 9$). So, multiply the denominator by 3: $4 \times 3 = 12$.
Answer: 12
16. $\frac{2}{?} = \frac{4}{6}$
Simplify $\frac{4}{6}$ by dividing top and bottom by 2, which gives $\frac{2}{3}$. So the missing denominator is 3.
Answer: 3
17. $\frac{3}{5} = \frac{24}{?}$
The numerator went from 3 to 24 ($3 \times 8 = 24$). So, multiply the denominator by 8: $5 \times 8 = 40$.
Answer: 40
18. $\frac{7}{8} = \frac{?}{64}$
The denominator went from 8 to 64 ($8 \times 8 = 64$). So, multiply the numerator by 8: $7 \times 8 = 56$.
Answer: 56
19. $\frac{2}{3} = \frac{?}{21}$
The denominator went from 3 to 21 ($3 \times 7 = 21$). So, multiply the numerator by 7: $2 \times 7 = 14$.
Answer: 14
20. $\frac{?}{8} = \frac{45}{72}$
Look at the denominators: 8 to 72 is multiplying by 9 ($8 \times 9 = 72$). So, divide the numerator 45 by 9: $45 \div 9 = 5$.
Answer: 5
Final Answer:
1. 3
2. 18
3. 12
4. 30
5. 10
6. 28
7. 8
8. 8
9. 18
10. 9
11. 3
12. 3
13. 24
14. 6
15. 12
16. 3
17. 40
18. 56
19. 14
20. 5
Here is the step-by-step solution for each problem:
1. $\frac{1}{2} = \frac{?}{6}$
The denominator went from 2 to 6 ($2 \times 3 = 6$). So, multiply the numerator by 3: $1 \times 3 = 3$.
Answer: 3
2. $\frac{2}{6} = \frac{?}{54}$
The denominator went from 6 to 54 ($6 \times 9 = 54$). So, multiply the numerator by 9: $2 \times 9 = 18$.
Answer: 18
3. $\frac{2}{3} = \frac{8}{?}$
The numerator went from 2 to 8 ($2 \times 4 = 8$). So, multiply the denominator by 4: $3 \times 4 = 12$.
Answer: 12
4. $\frac{3}{5} = \frac{18}{?}$
The numerator went from 3 to 18 ($3 \times 6 = 18$). So, multiply the denominator by 6: $5 \times 6 = 30$.
Answer: 30
5. $\frac{3}{5} = \frac{6}{?}$
The numerator went from 3 to 6 ($3 \times 2 = 6$). So, multiply the denominator by 2: $5 \times 2 = 10$.
Answer: 10
6. $\frac{3}{4} = \frac{21}{?}$
The numerator went from 3 to 21 ($3 \times 7 = 21$). So, multiply the denominator by 7: $4 \times 7 = 28$.
Answer: 28
7. $\frac{2}{?} = \frac{18}{72}$
Look at the numerators: 2 to 18 is multiplying by 9 ($2 \times 9 = 18$). To find the missing denominator, we can divide 72 by 9: $72 \div 9 = 8$.
Answer: 8
8. $\frac{4}{?} = \frac{24}{48}$
Look at the numerators: 4 to 24 is multiplying by 6 ($4 \times 6 = 24$). So, multiply the known denominator part? No, let's look at the relationship between the two fractions. $\frac{24}{48}$ simplifies to $\frac{1}{2}$. If $\frac{4}{x} = \frac{1}{2}$, then $4 \times 2 = 8$. Alternatively, $24 \div 6 = 4$, so $48 \div 6 = 8$.
Answer: 8
9. $\frac{6}{8} = \frac{?}{24}$
The denominator went from 8 to 24 ($8 \times 3 = 24$). So, multiply the numerator by 3: $6 \times 3 = 18$.
Answer: 18
10. $\frac{2}{3} = \frac{6}{?}$
The numerator went from 2 to 6 ($2 \times 3 = 6$). So, multiply the denominator by 3: $3 \times 3 = 9$.
Answer: 9
11. $\frac{?}{8} = \frac{21}{56}$
Look at the denominators: 8 to 56 is multiplying by 7 ($8 \times 7 = 56$). So, divide the numerator 21 by 7: $21 \div 7 = 3$.
Answer: 3
12. $\frac{?}{6} = \frac{30}{60}$
Simplify $\frac{30}{60}$ to $\frac{1}{2}$. If $\frac{x}{6} = \frac{1}{2}$, then $6 \div 2 = 3$. Or, $60 \div 10 = 6$, so $30 \div 10 = 3$.
Answer: 3
13. $\frac{2}{6} = \frac{8}{?}$
The numerator went from 2 to 8 ($2 \times 4 = 8$). So, multiply the denominator by 4: $6 \times 4 = 24$.
Answer: 24
14. $\frac{3}{?} = \frac{27}{54}$
Simplify $\frac{27}{54}$ to $\frac{1}{2}$. If $\frac{3}{x} = \frac{1}{2}$, then $3 \times 2 = 6$. Or, $27 \div 9 = 3$, so $54 \div 9 = 6$.
Answer: 6
15. $\frac{3}{4} = \frac{9}{?}$
The numerator went from 3 to 9 ($3 \times 3 = 9$). So, multiply the denominator by 3: $4 \times 3 = 12$.
Answer: 12
16. $\frac{2}{?} = \frac{4}{6}$
Simplify $\frac{4}{6}$ by dividing top and bottom by 2, which gives $\frac{2}{3}$. So the missing denominator is 3.
Answer: 3
17. $\frac{3}{5} = \frac{24}{?}$
The numerator went from 3 to 24 ($3 \times 8 = 24$). So, multiply the denominator by 8: $5 \times 8 = 40$.
Answer: 40
18. $\frac{7}{8} = \frac{?}{64}$
The denominator went from 8 to 64 ($8 \times 8 = 64$). So, multiply the numerator by 8: $7 \times 8 = 56$.
Answer: 56
19. $\frac{2}{3} = \frac{?}{21}$
The denominator went from 3 to 21 ($3 \times 7 = 21$). So, multiply the numerator by 7: $2 \times 7 = 14$.
Answer: 14
20. $\frac{?}{8} = \frac{45}{72}$
Look at the denominators: 8 to 72 is multiplying by 9 ($8 \times 9 = 72$). So, divide the numerator 45 by 9: $45 \div 9 = 5$.
Answer: 5
Final Answer:
1. 3
2. 18
3. 12
4. 30
5. 10
6. 28
7. 8
8. 8
9. 18
10. 9
11. 3
12. 3
13. 24
14. 6
15. 12
16. 3
17. 40
18. 56
19. 14
20. 5
Parent Tip: Review the logic above to help your child master the concept of equivalent fractions worksheet grade 3.
