To solve this worksheet, we need to find equivalent fractions for each starting fraction. Equivalent fractions are different fractions that represent the same amount. We find them by multiplying the top number (numerator) and the bottom number (denominator) by the same whole number.
Here is the step-by-step breakdown for each problem:
1) Starting with 1/6
* Multiply by 2: (1×2)/(6×2) =
2/12
* Multiply by 3: (1×3)/(6×3) =
3/18
* Multiply by 4: (1×4)/(6×4) =
4/24
* Multiply by 5: (1×5)/(6×5) =
5/30
* Multiply by 6: (1×6)/(6×6) =
6/36
2) Starting with 2/5
* Multiply by 2: (2×2)/(5×2) =
4/10
* Multiply by 3: (2×3)/(5×3) =
6/15
* Multiply by 4: (2×4)/(5×4) =
8/20
* Multiply by 5: (2×5)/(5×5) =
10/25
* Multiply by 6: (2×6)/(5×6) =
12/30
3) Starting with 5/6
* Multiply by 2: (5×2)/(6×2) =
10/12
* Multiply by 3: (5×3)/(6×3) =
15/18
* Multiply by 4: (5×4)/(6×4) =
20/24
* Multiply by 5: (5×5)/(6×5) =
25/30
* Multiply by 6: (5×6)/(6×6) =
30/36
4) Starting with 2/9
* Multiply by 2: (2×2)/(9×2) =
4/18
* Multiply by 3: (2×3)/(9×3) =
6/27
* Multiply by 4: (2×4)/(9×4) =
8/36
* Multiply by 5: (2×5)/(9×5) =
10/45
* Multiply by 6: (2×6)/(9×6) =
12/54
5) Starting with 4/7
* Multiply by 2: (4×2)/(7×2) =
8/14
* Multiply by 3: (4×3)/(7×3) =
12/21
* Multiply by 4: (4×4)/(7×4) =
16/28
* Multiply by 5: (4×5)/(7×5) =
20/35
* Multiply by 6: (4×6)/(7×6) =
24/42
6) Starting with 3/8
* Multiply by 2: (3×2)/(8×2) =
6/16
* Multiply by 3: (3×3)/(8×3) =
9/24
* Multiply by 4: (3×4)/(8×4) =
12/32
* Multiply by 5: (3×5)/(8×5) =
15/40
* Multiply by 6: (3×6)/(8×6) =
18/48
7) Starting with 1/7
* Multiply by 2: (1×2)/(7×2) =
2/14
* Multiply by 3: (1×3)/(7×3) =
3/21
* Multiply by 4: (1×4)/(7×4) =
4/28
* Multiply by 5: (1×5)/(7×5) =
5/35
* Multiply by 6: (1×6)/(7×6) =
6/42
8) Starting with 7/12
* Multiply by 2: (7×2)/(12×2) =
14/24
* Multiply by 3: (7×3)/(12×3) =
21/36
* Multiply by 4: (7×4)/(12×4) =
28/48
* Multiply by 5: (7×5)/(12×5) =
35/60
* Multiply by 6: (7×6)/(12×6) =
42/72
Final Answer:
1) 2/12, 3/18, 4/24, 5/30, 6/36
2) 4/10, 6/15, 8/20, 10/25, 12/30
3) 10/12, 15/18, 20/24, 25/30, 30/36
4) 4/18, 6/27, 8/36, 10/45, 12/54
5) 8/14, 12/21, 16/28, 20/35, 24/42
6) 6/16, 9/24, 12/32, 15/40, 18/48
7) 2/14, 3/21, 4/28, 5/35, 6/42
8) 14/24, 21/36, 28/48, 35/60, 42/72
Parent Tip: Review the logic above to help your child master the concept of worksheet equivalent fractions.
