Equivalent Fractions worksheet (A) for practicing fraction equivalence with sections A, B, and C.

Here are the solutions for the equivalent fractions worksheet.

Section A

Column 1 (Base fraction $\frac{1}{2}$):
* $\frac{1}{2} = \frac{2}{4}$ (Multiply top and bottom by 2)
* $\frac{1}{2} = \frac{5}{10}$ (Multiply top and bottom by 5)
* $\frac{1}{2} = \frac{10}{20}$ (Multiply top and bottom by 10)
* $\frac{1}{2} = \frac{4}{8}$ (Multiply top and bottom by 4)

Column 2 (Base fraction $\frac{1}{3}$):
* $\frac{1}{3} = \frac{3}{9}$ (Multiply top and bottom by 3)
* $\frac{1}{3} = \frac{4}{12}$ (Multiply top and bottom by 4)
* $\frac{1}{3} = \frac{5}{15}$ (Multiply top and bottom by 5)
* $\frac{1}{3} = \frac{2}{6}$ (Multiply top and bottom by 2)

Column 3 (Base fraction $\frac{1}{4}$):
* $\frac{1}{4} = \frac{4}{16}$ (Multiply top and bottom by 4)
* $\frac{1}{4} = \frac{2}{8}$ (Multiply top and bottom by 2)
* $\frac{1}{4} = \frac{3}{12}$ (Multiply top and bottom by 3)
* $\frac{1}{4} = \frac{5}{20}$ (Multiply top and bottom by 5)

Column 4 (Base fraction $\frac{1}{5}$):
* $\frac{1}{5} = \frac{5}{25}$ (Multiply top and bottom by 5)
* $\frac{1}{5} = \frac{3}{15}$ (Multiply top and bottom by 3)
* $\frac{1}{5} = \frac{4}{20}$ (Multiply top and bottom by 4)
* $\frac{1}{5} = \frac{5}{25}$ (Multiply top and bottom by 5)

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Section B

Row 1:
* $\frac{1}{2} = \frac{5}{10}$
* $\frac{1}{2} = \frac{4}{8}$
* $\frac{1}{2} = \frac{3}{6}$
* $\frac{1}{2} = \frac{6}{12}$

Row 2:
* $\frac{1}{3} = \frac{5}{15}$
* $\frac{1}{3} = \frac{4}{12}$
* $\frac{1}{3} = \frac{3}{9}$
* $\frac{1}{3} = \frac{4}{12}$

Row 3:
* $\frac{1}{4} = \frac{5}{20}$
* $\frac{1}{4} = \frac{4}{16}$
* $\frac{1}{4} = \frac{3}{12}$
* $\frac{1}{4} = \frac{3}{12}$

Row 4:
* $\frac{1}{5} = \frac{5}{25}$
* $\frac{1}{4} = \frac{8}{32}$
* $\frac{1}{4} = \frac{5}{20}$
* $\frac{1}{4} = \frac{4}{16}$

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Section C

Problem 1:
$\frac{1}{2} = \frac{4}{8} = \frac{3}{6} = \frac{2}{4}$

Problem 2:
$\frac{1}{5} = \frac{5}{25} = \frac{4}{20} = \frac{2}{10}$

Problem 3:
$\frac{1}{3} = \frac{4}{12} = \frac{3}{9} = \frac{8}{24}$

Problem 4:
$\frac{1}{4} = \frac{5}{20} = \frac{6}{24} = \frac{2}{8}$

Final Answer:
Section A:
Col 1: 4, 10, 10, 4
Col 2: 9, 12, 5, 2
Col 3: 16, 8, 3, 5
Col 4: 25, 15, 4, 5

Section B:
Row 1: 10, 8, 6, 6
Row 2: 15, 12, 9, 4
Row 3: 20, 16, 12, 3
Row 4: 25, 32, 20, 4

Section C:
1: 4, 6, 2
2: 5, 20, 10
3: 4, 9, 8
4: 5, 24, 8