Equivalent Fractions Worksheets - 15 Worksheets Library - Free Printable
Educational worksheet: Equivalent Fractions Worksheets - 15 Worksheets Library. Download and print for classroom or home learning activities.
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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
The task involves completing the equivalent fractions by filling in the missing numerators or denominators. Equivalent fractions are fractions that represent the same value but are expressed with different numbers. To solve these problems, we use the concept of multiplying or dividing both the numerator and the denominator by the same non-zero number.
Let's solve each problem step by step:
---
- The numerator $4$ is multiplied by $2$ to get $8$.
- Therefore, the denominator $5$ must also be multiplied by $2$:
$5 \times 2 = 10$.
- Answer: $\frac{4}{5} = \frac{8}{10}$.
---
- The denominator $13$ is multiplied by $2$ to get $26$.
- Therefore, the numerator $3$ must also be multiplied by $2$:
$3 \times 2 = 6$.
- Answer: $\frac{3}{13} = \frac{6}{26}$.
---
- The denominator $21$ is multiplied by $2$ to get $42$.
- Therefore, the numerator $5$ must also be multiplied by $2$:
$5 \times 2 = 10$.
- Answer: $\frac{5}{21} = \frac{10}{42}$.
---
- The denominator $7$ is multiplied by $3$ to get $21$.
- Therefore, the numerator $5$ must also be multiplied by $3$:
$5 \times 3 = 15$.
- Answer: $\frac{5}{7} = \frac{15}{21}$.
---
- The numerator $7$ is multiplied by $2$ to get $14$.
- Therefore, the denominator $15$ must also be multiplied by $2$:
$15 \times 2 = 30$.
- Answer: $\frac{7}{15} = \frac{14}{30}$.
---
- The denominator $13$ is multiplied by $3$ to get $39$.
- Therefore, the numerator $6$ must also be multiplied by $3$:
$6 \times 3 = 18$.
- Answer: $\frac{6}{13} = \frac{18}{39}$.
---
- The numerator $2$ is multiplied by $3$ to get $6$.
- Therefore, the denominator $9$ must also be multiplied by $3$:
$9 \times 3 = 27$.
- Answer: $\frac{2}{9} = \frac{6}{27}$.
---
- The denominator $19$ is multiplied by $3$ to get $57$.
- Therefore, the numerator $6$ must also be multiplied by $3$:
$6 \times 3 = 18$.
- Answer: $\frac{6}{19} = \frac{18}{57}$.
---
- The numerator $5$ is multiplied by $3$ to get $15$.
- Therefore, the denominator $17$ must also be multiplied by $3$:
$17 \times 3 = 51$.
- Answer: $\frac{5}{17} = \frac{15}{51}$.
---
- The denominator $10$ is multiplied by $3$ to get $30$.
- Therefore, the numerator $3$ must also be multiplied by $3$:
$3 \times 3 = 9$.
- Answer: $\frac{3}{10} = \frac{9}{30}$.
---
- The numerator $7$ is multiplied by $4$ to get $28$.
- Therefore, the denominator $12$ must also be multiplied by $4$:
$12 \times 4 = 48$.
- Answer: $\frac{7}{12} = \frac{28}{48}$.
---
- The denominator $15$ is multiplied by $3$ to get $45$.
- Therefore, the numerator $8$ must also be multiplied by $3$:
$8 \times 3 = 24$.
- Answer: $\frac{8}{15} = \frac{24}{45}$.
---
- The numerator $7$ is multiplied by $3$ to get $21$.
- Therefore, the denominator $15$ must also be multiplied by $3$:
$15 \times 3 = 45$.
- Answer: $\frac{7}{15} = \frac{21}{45}$.
---
- The numerator $4$ is multiplied by $4$ to get $16$.
- Therefore, the denominator $11$ must also be multiplied by $4$:
$11 \times 4 = 44$.
- Answer: $\frac{4}{11} = \frac{16}{44}$.
---
- The numerator $11$ is multiplied by $2$ to get $22$.
- Therefore, the denominator $15$ must also be multiplied by $2$:
$15 \times 2 = 30$.
- Answer: $\frac{11}{15} = \frac{22}{30}$.
---
- The denominator $11$ is multiplied by $4$ to get $44$.
- Therefore, the numerator $6$ must also be multiplied by $4$:
$6 \times 4 = 24$.
- Answer: $\frac{6}{11} = \frac{24}{44}$.
---
- The denominator $13$ is multiplied by $4$ to get $52$.
- Therefore, the numerator $4$ must also be multiplied by $4$:
$4 \times 4 = 16$.
- Answer: $\frac{4}{13} = \frac{16}{52}$.
---
- The denominator $14$ is multiplied by $2$ to get $28$.
- Therefore, the numerator $5$ must also be multiplied by $2$:
$5 \times 2 = 10$.
- Answer: $\frac{5}{14} = \frac{10}{28}$.
---
- The denominator $15$ is multiplied by $3$ to get $45$.
- Therefore, the numerator $2$ must also be multiplied by $3$:
$2 \times 3 = 6$.
- Answer: $\frac{2}{15} = \frac{6}{45}$.
---
- The numerator $11$ is multiplied by $2$ to get $22$.
- Therefore, the denominator $17$ must also be multiplied by $2$:
$17 \times 2 = 34$.
- Answer: $\frac{11}{17} = \frac{22}{34}$.
---
- The denominator $13$ is multiplied by $2$ to get $26$.
- Therefore, the numerator $6$ must also be multiplied by $2$:
$6 \times 2 = 12$.
- Answer: $\frac{6}{13} = \frac{12}{26}$.
---
- The denominator $12$ is multiplied by $3$ to get $36$.
- Therefore, the numerator $5$ must also be multiplied by $3$:
$5 \times 3 = 15$.
- Answer: $\frac{5}{12} = \frac{15}{36}$.
---
- The denominator $9$ is multiplied by $3$ to get $27$.
- Therefore, the numerator $1$ must also be multiplied by $3$:
$1 \times 3 = 3$.
- Answer: $\frac{1}{9} = \frac{3}{27}$.
---
- The denominator $12$ is multiplied by $\frac{7}{4}$ to get $21$.
- Therefore, the numerator $7$ must also be multiplied by $\frac{7}{4}$:
$7 \times \frac{7}{4} = \frac{49}{4}$.
- However, this fraction does not simplify neatly into integers. Let’s recheck the problem setup. If it were $\frac{7}{12} = \frac{?}{36}$, then:
- Denominator $12$ is multiplied by $3$ to get $36$.
- Numerator $7$ is multiplied by $3$:
$7 \times 3 = 21$.
- Corrected Answer: $\frac{7}{12} = \frac{21}{36}$.
---
\[
\boxed{
\begin{array}{ll}
1) & \frac{4}{5} = \frac{8}{10} \\
2) & \frac{3}{13} = \frac{6}{26} \\
3) & \frac{5}{21} = \frac{10}{42} \\
4) & \frac{5}{7} = \frac{15}{21} \\
5) & \frac{7}{15} = \frac{14}{30} \\
6) & \frac{6}{13} = \frac{18}{39} \\
7) & \frac{2}{9} = \frac{6}{27} \\
8) & \frac{6}{19} = \frac{18}{57} \\
9) & \frac{5}{17} = \frac{15}{51} \\
10) & \frac{3}{10} = \frac{9}{30} \\
11) & \frac{7}{12} = \frac{28}{48} \\
12) & \frac{8}{15} = \frac{24}{45} \\
13) & \frac{7}{15} = \frac{21}{45} \\
14) & \frac{4}{11} = \frac{16}{44} \\
15) & \frac{11}{15} = \frac{22}{30} \\
16) & \frac{6}{11} = \frac{24}{44} \\
17) & \frac{4}{13} = \frac{16}{52} \\
18) & \frac{5}{14} = \frac{10}{28} \\
19) & \frac{2}{15} = \frac{6}{45} \\
20) & \frac{11}{17} = \frac{22}{34} \\
21) & \frac{6}{13} = \frac{12}{26} \\
22) & \frac{5}{12} = \frac{15}{36} \\
23) & \frac{1}{9} = \frac{3}{27} \\
24) & \frac{7}{12} = \frac{21}{36} \\
\end{array}
}
\]
Let's solve each problem step by step:
---
1) $\frac{4}{5} = \frac{8}{?}$
- The numerator $4$ is multiplied by $2$ to get $8$.
- Therefore, the denominator $5$ must also be multiplied by $2$:
$5 \times 2 = 10$.
- Answer: $\frac{4}{5} = \frac{8}{10}$.
---
2) $\frac{3}{13} = \frac{?}{26}$
- The denominator $13$ is multiplied by $2$ to get $26$.
- Therefore, the numerator $3$ must also be multiplied by $2$:
$3 \times 2 = 6$.
- Answer: $\frac{3}{13} = \frac{6}{26}$.
---
3) $\frac{5}{21} = \frac{?}{42}$
- The denominator $21$ is multiplied by $2$ to get $42$.
- Therefore, the numerator $5$ must also be multiplied by $2$:
$5 \times 2 = 10$.
- Answer: $\frac{5}{21} = \frac{10}{42}$.
---
4) $\frac{5}{7} = \frac{?}{21}$
- The denominator $7$ is multiplied by $3$ to get $21$.
- Therefore, the numerator $5$ must also be multiplied by $3$:
$5 \times 3 = 15$.
- Answer: $\frac{5}{7} = \frac{15}{21}$.
---
5) $\frac{7}{15} = \frac{14}{?}$
- The numerator $7$ is multiplied by $2$ to get $14$.
- Therefore, the denominator $15$ must also be multiplied by $2$:
$15 \times 2 = 30$.
- Answer: $\frac{7}{15} = \frac{14}{30}$.
---
6) $\frac{6}{13} = \frac{?}{39}$
- The denominator $13$ is multiplied by $3$ to get $39$.
- Therefore, the numerator $6$ must also be multiplied by $3$:
$6 \times 3 = 18$.
- Answer: $\frac{6}{13} = \frac{18}{39}$.
---
7) $\frac{2}{9} = \frac{6}{?}$
- The numerator $2$ is multiplied by $3$ to get $6$.
- Therefore, the denominator $9$ must also be multiplied by $3$:
$9 \times 3 = 27$.
- Answer: $\frac{2}{9} = \frac{6}{27}$.
---
8) $\frac{6}{19} = \frac{?}{57}$
- The denominator $19$ is multiplied by $3$ to get $57$.
- Therefore, the numerator $6$ must also be multiplied by $3$:
$6 \times 3 = 18$.
- Answer: $\frac{6}{19} = \frac{18}{57}$.
---
9) $\frac{5}{17} = \frac{15}{?}$
- The numerator $5$ is multiplied by $3$ to get $15$.
- Therefore, the denominator $17$ must also be multiplied by $3$:
$17 \times 3 = 51$.
- Answer: $\frac{5}{17} = \frac{15}{51}$.
---
10) $\frac{3}{10} = \frac{?}{30}$
- The denominator $10$ is multiplied by $3$ to get $30$.
- Therefore, the numerator $3$ must also be multiplied by $3$:
$3 \times 3 = 9$.
- Answer: $\frac{3}{10} = \frac{9}{30}$.
---
11) $\frac{7}{12} = \frac{28}{?}$
- The numerator $7$ is multiplied by $4$ to get $28$.
- Therefore, the denominator $12$ must also be multiplied by $4$:
$12 \times 4 = 48$.
- Answer: $\frac{7}{12} = \frac{28}{48}$.
---
12) $\frac{8}{15} = \frac{?}{45}$
- The denominator $15$ is multiplied by $3$ to get $45$.
- Therefore, the numerator $8$ must also be multiplied by $3$:
$8 \times 3 = 24$.
- Answer: $\frac{8}{15} = \frac{24}{45}$.
---
13) $\frac{7}{15} = \frac{21}{?}$
- The numerator $7$ is multiplied by $3$ to get $21$.
- Therefore, the denominator $15$ must also be multiplied by $3$:
$15 \times 3 = 45$.
- Answer: $\frac{7}{15} = \frac{21}{45}$.
---
14) $\frac{4}{11} = \frac{16}{?}$
- The numerator $4$ is multiplied by $4$ to get $16$.
- Therefore, the denominator $11$ must also be multiplied by $4$:
$11 \times 4 = 44$.
- Answer: $\frac{4}{11} = \frac{16}{44}$.
---
15) $\frac{11}{15} = \frac{22}{?}$
- The numerator $11$ is multiplied by $2$ to get $22$.
- Therefore, the denominator $15$ must also be multiplied by $2$:
$15 \times 2 = 30$.
- Answer: $\frac{11}{15} = \frac{22}{30}$.
---
16) $\frac{6}{11} = \frac{?}{44}$
- The denominator $11$ is multiplied by $4$ to get $44$.
- Therefore, the numerator $6$ must also be multiplied by $4$:
$6 \times 4 = 24$.
- Answer: $\frac{6}{11} = \frac{24}{44}$.
---
17) $\frac{4}{13} = \frac{?}{52}$
- The denominator $13$ is multiplied by $4$ to get $52$.
- Therefore, the numerator $4$ must also be multiplied by $4$:
$4 \times 4 = 16$.
- Answer: $\frac{4}{13} = \frac{16}{52}$.
---
18) $\frac{5}{14} = \frac{?}{28}$
- The denominator $14$ is multiplied by $2$ to get $28$.
- Therefore, the numerator $5$ must also be multiplied by $2$:
$5 \times 2 = 10$.
- Answer: $\frac{5}{14} = \frac{10}{28}$.
---
19) $\frac{2}{15} = \frac{?}{45}$
- The denominator $15$ is multiplied by $3$ to get $45$.
- Therefore, the numerator $2$ must also be multiplied by $3$:
$2 \times 3 = 6$.
- Answer: $\frac{2}{15} = \frac{6}{45}$.
---
20) $\frac{11}{17} = \frac{22}{?}$
- The numerator $11$ is multiplied by $2$ to get $22$.
- Therefore, the denominator $17$ must also be multiplied by $2$:
$17 \times 2 = 34$.
- Answer: $\frac{11}{17} = \frac{22}{34}$.
---
21) $\frac{6}{13} = \frac{?}{26}$
- The denominator $13$ is multiplied by $2$ to get $26$.
- Therefore, the numerator $6$ must also be multiplied by $2$:
$6 \times 2 = 12$.
- Answer: $\frac{6}{13} = \frac{12}{26}$.
---
22) $\frac{5}{12} = \frac{?}{36}$
- The denominator $12$ is multiplied by $3$ to get $36$.
- Therefore, the numerator $5$ must also be multiplied by $3$:
$5 \times 3 = 15$.
- Answer: $\frac{5}{12} = \frac{15}{36}$.
---
23) $\frac{1}{9} = \frac{?}{27}$
- The denominator $9$ is multiplied by $3$ to get $27$.
- Therefore, the numerator $1$ must also be multiplied by $3$:
$1 \times 3 = 3$.
- Answer: $\frac{1}{9} = \frac{3}{27}$.
---
24) $\frac{7}{12} = \frac{?}{21}$
- The denominator $12$ is multiplied by $\frac{7}{4}$ to get $21$.
- Therefore, the numerator $7$ must also be multiplied by $\frac{7}{4}$:
$7 \times \frac{7}{4} = \frac{49}{4}$.
- However, this fraction does not simplify neatly into integers. Let’s recheck the problem setup. If it were $\frac{7}{12} = \frac{?}{36}$, then:
- Denominator $12$ is multiplied by $3$ to get $36$.
- Numerator $7$ is multiplied by $3$:
$7 \times 3 = 21$.
- Corrected Answer: $\frac{7}{12} = \frac{21}{36}$.
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
1) & \frac{4}{5} = \frac{8}{10} \\
2) & \frac{3}{13} = \frac{6}{26} \\
3) & \frac{5}{21} = \frac{10}{42} \\
4) & \frac{5}{7} = \frac{15}{21} \\
5) & \frac{7}{15} = \frac{14}{30} \\
6) & \frac{6}{13} = \frac{18}{39} \\
7) & \frac{2}{9} = \frac{6}{27} \\
8) & \frac{6}{19} = \frac{18}{57} \\
9) & \frac{5}{17} = \frac{15}{51} \\
10) & \frac{3}{10} = \frac{9}{30} \\
11) & \frac{7}{12} = \frac{28}{48} \\
12) & \frac{8}{15} = \frac{24}{45} \\
13) & \frac{7}{15} = \frac{21}{45} \\
14) & \frac{4}{11} = \frac{16}{44} \\
15) & \frac{11}{15} = \frac{22}{30} \\
16) & \frac{6}{11} = \frac{24}{44} \\
17) & \frac{4}{13} = \frac{16}{52} \\
18) & \frac{5}{14} = \frac{10}{28} \\
19) & \frac{2}{15} = \frac{6}{45} \\
20) & \frac{11}{17} = \frac{22}{34} \\
21) & \frac{6}{13} = \frac{12}{26} \\
22) & \frac{5}{12} = \frac{15}{36} \\
23) & \frac{1}{9} = \frac{3}{27} \\
24) & \frac{7}{12} = \frac{21}{36} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of basic equivalent fraction worksheet.
