Equivalent Fractions Worksheets Grade 4 | Grade1to6.com - Free Printable

This is a Grade 4 math worksheet on equivalent fractions. The task is to look at each pair of pie charts and write the corresponding fractions in the boxes below them. Equivalent fractions are different fractions that represent the same value.

I will solve this problem by analyzing each pair of pie charts from top to bottom, left to right.

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First Row (Left Side):
- The first pie chart is divided into 3 equal parts, with 2 parts shaded yellow. This represents the fraction $\frac{2}{3}$.
- The second pie chart is divided into 6 equal parts, with 4 parts shaded yellow. This represents the fraction $\frac{4}{6}$.
- Since both charts show the same amount shaded, $\frac{2}{3} = \frac{4}{6}$.

First Row (Right Side):
- The first pie chart is divided into 2 equal parts, with 1 part shaded red. This represents the fraction $\frac{1}{2}$.
- The second pie chart is divided into 8 equal parts, with 4 parts shaded red. This represents the fraction $\frac{4}{8}$.
- Since both charts show the same amount shaded, $\frac{1}{2} = \frac{4}{8}$.

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Second Row (Left Side):
- The first pie chart is divided into 2 equal parts, with 1 part shaded green. This represents the fraction $\frac{1}{2}$.
- The second pie chart is divided into 4 equal parts, with 2 parts shaded green. This represents the fraction $\frac{2}{4}$.
- Since both charts show the same amount shaded, $\frac{1}{2} = \frac{2}{4}$.

Second Row (Right Side):
- The first pie chart is divided into 10 equal parts, with 7 parts shaded pink. This represents the fraction $\frac{7}{10}$.
- The second pie chart is divided into 10 equal parts, with 7 parts shaded pink. This represents the fraction $\frac{7}{10}$.
- Since both charts show the same amount shaded, $\frac{7}{10} = \frac{7}{10}$.

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Third Row (Left Side):
- The first pie chart is divided into 2 equal parts, with 1 part shaded white. This represents the fraction $\frac{1}{2}$.
- The second pie chart is divided into 4 equal parts, with 2 parts shaded purple. This represents the fraction $\frac{2}{4}$.
- Since both charts show the same amount shaded, $\frac{1}{2} = \frac{2}{4}$.

Third Row (Right Side):
- The first pie chart is divided into 3 equal parts, with 2 parts shaded green. This represents the fraction $\frac{2}{3}$.
- The second pie chart is divided into 9 equal parts, with 6 parts shaded green. This represents the fraction $\frac{6}{9}$.
- Since both charts show the same amount shaded, $\frac{2}{3} = \frac{6}{9}$.

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Fourth Row (Left Side):
- The first pie chart is divided into 3 equal parts, with 1 part shaded green. This represents the fraction $\frac{1}{3}$.
- The second pie chart is divided into 6 equal parts, with 2 parts shaded green. This represents the fraction $\frac{2}{6}$.
- Since both charts show the same amount shaded, $\frac{1}{3} = \frac{2}{6}$.

Fourth Row (Right Side):
- The first pie chart is divided into 4 equal parts, with 3 parts shaded blue. This represents the fraction $\frac{3}{4}$.
- The second pie chart is divided into 12 equal parts, with 9 parts shaded blue. This represents the fraction $\frac{9}{12}$.
- Since both charts show the same amount shaded, $\frac{3}{4} = \frac{9}{12}$.

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Final Answer:

The completed worksheet should have the following fractions filled in the boxes:

Left Column:
- Row 1: $\frac{2}{3}$ and $\frac{4}{6}$
- Row 2: $\frac{1}{2}$ and $\frac{2}{4}$
- Row 3: $\frac{1}{2}$ and $\frac{2}{4}$
- Row 4: $\frac{1}{3}$ and $\frac{2}{6}$

Right Column:
- Row 1: $\frac{1}{2}$ and $\frac{4}{8}$
- Row 2: $\frac{7}{10}$ and $\frac{7}{10}$
- Row 3: $\frac{2}{3}$ and $\frac{6}{9}$
- Row 4: $\frac{3}{4}$ and $\frac{9}{12}$

This demonstrates the concept of equivalent fractions, where different fractions can represent the same portion of a whole.