Equivalent Fractions Sheet 3 - Practice finding equivalent fractions with 28 problems and a helpful fraction strip resource link.
Equivalent Fractions Worksheet 3 with 28 problems for finding equivalent fractions, featuring a salamander logo and fraction strip resource link.
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Show Answer Key & Explanations
Step-by-step solution for: Equivalent Fractions Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Equivalent Fractions Worksheet
To find the missing numbers, we need to make equivalent fractions. This means we multiply the top number (numerator) and the bottom number (denominator) by the same amount to keep the value equal.
Here is the step-by-step solution for each problem:
1) 1/3 = ?/6: The bottom number 3 becomes 6 (multiplied by 2). So, multiply the top by 2: $1 \times 2 = 2$.
2) 1/4 = ?/12: The bottom number 4 becomes 12 (multiplied by 3). So, multiply the top by 3: $1 \times 3 = 3$.
3) 1/3 = ?/9: The bottom number 3 becomes 9 (multiplied by 3). So, multiply the top by 3: $1 \times 3 = 3$.
4) 1/2 = ?/12: The bottom number 2 becomes 12 (multiplied by 6). So, multiply the top by 6: $1 \times 6 = 6$.
5) 1/4 = ?/8: The bottom number 4 becomes 8 (multiplied by 2). So, multiply the top by 2: $1 \times 2 = 2$.
6) 1/2 = ?/8: The bottom number 2 becomes 8 (multiplied by 4). So, multiply the top by 4: $1 \times 4 = 4$.
7) 1/6 = ?/12: The bottom number 6 becomes 12 (multiplied by 2). So, multiply the top by 2: $1 \times 2 = 2$.
8) 1/5 = ?/10: The bottom number 5 becomes 10 (multiplied by 2). So, multiply the top by 2: $1 \times 2 = 2$.
9) 2/2 = ?/4: The bottom number 2 becomes 4 (multiplied by 2). So, multiply the top by 2: $2 \times 2 = 4$.
10) 3/4 = ?/8: The bottom number 4 becomes 8 (multiplied by 2). So, multiply the top by 2: $3 \times 2 = 6$.
11) 2/3 = ?/6: The bottom number 3 becomes 6 (multiplied by 2). So, multiply the top by 2: $2 \times 2 = 4$.
12) 2/4 = ?/12: The bottom number 4 becomes 12 (multiplied by 3). So, multiply the top by 3: $2 \times 3 = 6$.
13) 2/3 = ?/9: The bottom number 3 becomes 9 (multiplied by 3). So, multiply the top by 3: $2 \times 3 = 6$.
14) 4/6 = ?/12: The bottom number 6 becomes 12 (multiplied by 2). So, multiply the top by 2: $4 \times 2 = 8$.
15) 3/5 = ?/10: The bottom number 5 becomes 10 (multiplied by 2). So, multiply the top by 2: $3 \times 2 = 6$.
16) 3/4 = ?/12: The bottom number 4 becomes 12 (multiplied by 3). So, multiply the top by 3: $3 \times 3 = 9$.
17) 4/5 = ?/10: The bottom number 5 becomes 10 (multiplied by 2). So, multiply the top by 2: $4 \times 2 = 8$.
18) 3/6 = ?/12: The bottom number 6 becomes 12 (multiplied by 2). So, multiply the top by 2: $3 \times 2 = 6$.
19) 2/5 = ?/10: The bottom number 5 becomes 10 (multiplied by 2). So, multiply the top by 2: $2 \times 2 = 4$.
20) 4/4 = ?/12: The bottom number 4 becomes 12 (multiplied by 3). So, multiply the top by 3: $4 \times 3 = 12$.
21) 1/2 = 4/?: The top number 1 becomes 4 (multiplied by 4). So, multiply the bottom by 4: $2 \times 4 = 8$.
22) 1/4 = 3/?: The top number 1 becomes 3 (multiplied by 3). So, multiply the bottom by 3: $4 \times 3 = 12$.
23) 1/3 = 3/?: The top number 1 becomes 3 (multiplied by 3). So, multiply the bottom by 3: $3 \times 3 = 9$.
24) 2/4 = 4/?: The top number 2 becomes 4 (multiplied by 2). So, multiply the bottom by 2: $4 \times 2 = 8$.
25) 1/2 = 5/?: The top number 1 becomes 5 (multiplied by 5). So, multiply the bottom by 5: $2 \times 5 = 10$.
26) 3/4 = 6/?: The top number 3 becomes 6 (multiplied by 2). So, multiply the bottom by 2: $4 \times 2 = 8$.
27) 2/3 = 6/?: The top number 2 becomes 6 (multiplied by 3). So, multiply the bottom by 3: $3 \times 3 = 9$.
28) 3/4 = 9/?: The top number 3 becomes 9 (multiplied by 3). So, multiply the bottom by 3: $4 \times 3 = 12$.
Final Answer:
1) 2
2) 3
3) 3
4) 6
5) 2
6) 4
7) 2
8) 2
9) 4
10) 6
11) 4
12) 6
13) 6
14) 8
15) 6
16) 9
17) 8
18) 6
19) 4
20) 12
21) 8
22) 12
23) 9
24) 8
25) 10
26) 8
27) 9
28) 12
Here is the step-by-step solution for each problem:
1) 1/3 = ?/6: The bottom number 3 becomes 6 (multiplied by 2). So, multiply the top by 2: $1 \times 2 = 2$.
2) 1/4 = ?/12: The bottom number 4 becomes 12 (multiplied by 3). So, multiply the top by 3: $1 \times 3 = 3$.
3) 1/3 = ?/9: The bottom number 3 becomes 9 (multiplied by 3). So, multiply the top by 3: $1 \times 3 = 3$.
4) 1/2 = ?/12: The bottom number 2 becomes 12 (multiplied by 6). So, multiply the top by 6: $1 \times 6 = 6$.
5) 1/4 = ?/8: The bottom number 4 becomes 8 (multiplied by 2). So, multiply the top by 2: $1 \times 2 = 2$.
6) 1/2 = ?/8: The bottom number 2 becomes 8 (multiplied by 4). So, multiply the top by 4: $1 \times 4 = 4$.
7) 1/6 = ?/12: The bottom number 6 becomes 12 (multiplied by 2). So, multiply the top by 2: $1 \times 2 = 2$.
8) 1/5 = ?/10: The bottom number 5 becomes 10 (multiplied by 2). So, multiply the top by 2: $1 \times 2 = 2$.
9) 2/2 = ?/4: The bottom number 2 becomes 4 (multiplied by 2). So, multiply the top by 2: $2 \times 2 = 4$.
10) 3/4 = ?/8: The bottom number 4 becomes 8 (multiplied by 2). So, multiply the top by 2: $3 \times 2 = 6$.
11) 2/3 = ?/6: The bottom number 3 becomes 6 (multiplied by 2). So, multiply the top by 2: $2 \times 2 = 4$.
12) 2/4 = ?/12: The bottom number 4 becomes 12 (multiplied by 3). So, multiply the top by 3: $2 \times 3 = 6$.
13) 2/3 = ?/9: The bottom number 3 becomes 9 (multiplied by 3). So, multiply the top by 3: $2 \times 3 = 6$.
14) 4/6 = ?/12: The bottom number 6 becomes 12 (multiplied by 2). So, multiply the top by 2: $4 \times 2 = 8$.
15) 3/5 = ?/10: The bottom number 5 becomes 10 (multiplied by 2). So, multiply the top by 2: $3 \times 2 = 6$.
16) 3/4 = ?/12: The bottom number 4 becomes 12 (multiplied by 3). So, multiply the top by 3: $3 \times 3 = 9$.
17) 4/5 = ?/10: The bottom number 5 becomes 10 (multiplied by 2). So, multiply the top by 2: $4 \times 2 = 8$.
18) 3/6 = ?/12: The bottom number 6 becomes 12 (multiplied by 2). So, multiply the top by 2: $3 \times 2 = 6$.
19) 2/5 = ?/10: The bottom number 5 becomes 10 (multiplied by 2). So, multiply the top by 2: $2 \times 2 = 4$.
20) 4/4 = ?/12: The bottom number 4 becomes 12 (multiplied by 3). So, multiply the top by 3: $4 \times 3 = 12$.
21) 1/2 = 4/?: The top number 1 becomes 4 (multiplied by 4). So, multiply the bottom by 4: $2 \times 4 = 8$.
22) 1/4 = 3/?: The top number 1 becomes 3 (multiplied by 3). So, multiply the bottom by 3: $4 \times 3 = 12$.
23) 1/3 = 3/?: The top number 1 becomes 3 (multiplied by 3). So, multiply the bottom by 3: $3 \times 3 = 9$.
24) 2/4 = 4/?: The top number 2 becomes 4 (multiplied by 2). So, multiply the bottom by 2: $4 \times 2 = 8$.
25) 1/2 = 5/?: The top number 1 becomes 5 (multiplied by 5). So, multiply the bottom by 5: $2 \times 5 = 10$.
26) 3/4 = 6/?: The top number 3 becomes 6 (multiplied by 2). So, multiply the bottom by 2: $4 \times 2 = 8$.
27) 2/3 = 6/?: The top number 2 becomes 6 (multiplied by 3). So, multiply the bottom by 3: $3 \times 3 = 9$.
28) 3/4 = 9/?: The top number 3 becomes 9 (multiplied by 3). So, multiply the bottom by 3: $4 \times 3 = 12$.
Final Answer:
1) 2
2) 3
3) 3
4) 6
5) 2
6) 4
7) 2
8) 2
9) 4
10) 6
11) 4
12) 6
13) 6
14) 8
15) 6
16) 9
17) 8
18) 6
19) 4
20) 12
21) 8
22) 12
23) 9
24) 8
25) 10
26) 8
27) 9
28) 12
Parent Tip: Review the logic above to help your child master the concept of equivalent fractions worksheet grade 5.