Fraction equivalence worksheet using pie charts to visually represent equivalent fractions.
A worksheet with 12 fraction problems using pie charts to represent equivalent fractions, where students match shaded circles to their fractional equivalents.
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Step-by-step solution for: FRACCIONES EQUIVALENTES 4º worksheet
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Show Answer Key & Explanations
Step-by-step solution for: FRACCIONES EQUIVALENTES 4º worksheet
This image presents a math worksheet focused on finding equivalent fractions using visual models of circles. The task is to fill in the blanks for problems 2 through 12, following the example given in problem 1.
The general pattern is:
- On the left, there is a circle divided into a certain number of equal parts, with some parts shaded.
- An equals sign connects it to another circle on the right, which is divided into more equal parts but represents the same amount of shading.
- Below each pair of circles, there are two fraction boxes to be filled in, showing the equivalent fractions.
I will solve each problem one by one by counting the total parts and the shaded parts for each circle.
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- Left Circle: Divided into 6 parts, 3 are shaded. This is the fraction $ \frac{3}{6} $.
- Right Circle: Divided into 12 parts, 6 are shaded. This is the fraction $ \frac{6}{12} $.
- These are equivalent because $ \frac{3}{6} = \frac{1}{2} $ and $ \frac{6}{12} = \frac{1}{2} $.
Answer for 2:
$ \frac{3}{6} = \frac{6}{12} $
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- Left Circle: Divided into 8 parts, 5 are shaded. This is the fraction $ \frac{5}{8} $.
- Right Circle: Divided into 16 parts, 10 are shaded. This is the fraction $ \frac{10}{16} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{5}{8} $ by 2 gives $ \frac{10}{16} $.
Answer for 3:
$ \frac{5}{8} = \frac{10}{16} $
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- Left Circle: Divided into 4 parts, 3 are shaded. This is the fraction $ \frac{3}{4} $.
- Right Circle: Divided into 16 parts, 12 are shaded. This is the fraction $ \frac{12}{16} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{3}{4} $ by 4 gives $ \frac{12}{16} $.
Answer for 4:
$ \frac{3}{4} = \frac{12}{16} $
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- Left Circle: Divided into 5 parts, 3 are shaded. This is the fraction $ \frac{3}{5} $.
- Right Circle: Divided into 15 parts, 9 are shaded. This is the fraction $ \frac{9}{15} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{3}{5} $ by 3 gives $ \frac{9}{15} $.
Answer for 5:
$ \frac{3}{5} = \frac{9}{15} $
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- Left Circle: Divided into 3 parts, 2 are shaded. This is the fraction $ \frac{2}{3} $.
- Right Circle: Divided into 12 parts, 8 are shaded. This is the fraction $ \frac{8}{12} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{2}{3} $ by 4 gives $ \frac{8}{12} $.
Answer for 6:
$ \frac{2}{3} = \frac{8}{12} $
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- Left Circle: Divided into 2 parts, 1 is shaded. This is the fraction $ \frac{1}{2} $.
- Right Circle: Divided into 6 parts, 3 are shaded. This is the fraction $ \frac{3}{6} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{1}{2} $ by 3 gives $ \frac{3}{6} $.
Answer for 7:
$ \frac{1}{2} = \frac{3}{6} $
---
- Left Circle: Divided into 6 parts, 4 are shaded. This is the fraction $ \frac{4}{6} $.
- Right Circle: Divided into 12 parts, 8 are shaded. This is the fraction $ \frac{8}{12} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{4}{6} $ by 2 gives $ \frac{8}{12} $.
Answer for 8:
$ \frac{4}{6} = \frac{8}{12} $
---
- Left Circle: Divided into 4 parts, 3 are shaded. This is the fraction $ \frac{3}{4} $.
- Right Circle: Divided into 16 parts, 12 are shaded. This is the fraction $ \frac{12}{16} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{3}{4} $ by 4 gives $ \frac{12}{16} $.
Answer for 9:
$ \frac{3}{4} = \frac{12}{16} $
---
- Left Circle: Divided into 6 parts, 4 are shaded. This is the fraction $ \frac{4}{6} $.
- Right Circle: Divided into 12 parts, 8 are shaded. This is the fraction $ \frac{8}{12} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{4}{6} $ by 2 gives $ \frac{8}{12} $.
Answer for 10:
$ \frac{4}{6} = \frac{8}{12} $
---
- Left Circle: Divided into 3 parts, 1 is shaded. This is the fraction $ \frac{1}{3} $.
- Right Circle: Divided into 6 parts, 2 are shaded. This is the fraction $ \frac{2}{6} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{1}{3} $ by 2 gives $ \frac{2}{6} $.
Answer for 11:
$ \frac{1}{3} = \frac{2}{6} $
---
- Left Circle: Divided into 8 parts, 6 are shaded. This is the fraction $ \frac{6}{8} $.
- Right Circle: Divided into 16 parts, 12 are shaded. This is the fraction $ \frac{12}{16} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{6}{8} $ by 2 gives $ \frac{12}{16} $.
Answer for 12:
$ \frac{6}{8} = \frac{12}{16} $
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Here are the completed fractions for all problems:
2) $ \frac{3}{6} = \frac{6}{12} $
3) $ \frac{5}{8} = \frac{10}{16} $
4) $ \frac{3}{4} = \frac{12}{16} $
5) $ \frac{3}{5} = \frac{9}{15} $
6) $ \frac{2}{3} = \frac{8}{12} $
7) $ \frac{1}{2} = \frac{3}{6} $
8) $ \frac{4}{6} = \frac{8}{12} $
9) $ \frac{3}{4} = \frac{12}{16} $
10) $ \frac{4}{6} = \frac{8}{12} $
11) $ \frac{1}{3} = \frac{2}{6} $
12) $ \frac{6}{8} = \frac{12}{16} $
The general pattern is:
- On the left, there is a circle divided into a certain number of equal parts, with some parts shaded.
- An equals sign connects it to another circle on the right, which is divided into more equal parts but represents the same amount of shading.
- Below each pair of circles, there are two fraction boxes to be filled in, showing the equivalent fractions.
I will solve each problem one by one by counting the total parts and the shaded parts for each circle.
---
Problem 2
- Left Circle: Divided into 6 parts, 3 are shaded. This is the fraction $ \frac{3}{6} $.
- Right Circle: Divided into 12 parts, 6 are shaded. This is the fraction $ \frac{6}{12} $.
- These are equivalent because $ \frac{3}{6} = \frac{1}{2} $ and $ \frac{6}{12} = \frac{1}{2} $.
Answer for 2:
$ \frac{3}{6} = \frac{6}{12} $
---
Problem 3
- Left Circle: Divided into 8 parts, 5 are shaded. This is the fraction $ \frac{5}{8} $.
- Right Circle: Divided into 16 parts, 10 are shaded. This is the fraction $ \frac{10}{16} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{5}{8} $ by 2 gives $ \frac{10}{16} $.
Answer for 3:
$ \frac{5}{8} = \frac{10}{16} $
---
Problem 4
- Left Circle: Divided into 4 parts, 3 are shaded. This is the fraction $ \frac{3}{4} $.
- Right Circle: Divided into 16 parts, 12 are shaded. This is the fraction $ \frac{12}{16} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{3}{4} $ by 4 gives $ \frac{12}{16} $.
Answer for 4:
$ \frac{3}{4} = \frac{12}{16} $
---
Problem 5
- Left Circle: Divided into 5 parts, 3 are shaded. This is the fraction $ \frac{3}{5} $.
- Right Circle: Divided into 15 parts, 9 are shaded. This is the fraction $ \frac{9}{15} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{3}{5} $ by 3 gives $ \frac{9}{15} $.
Answer for 5:
$ \frac{3}{5} = \frac{9}{15} $
---
Problem 6
- Left Circle: Divided into 3 parts, 2 are shaded. This is the fraction $ \frac{2}{3} $.
- Right Circle: Divided into 12 parts, 8 are shaded. This is the fraction $ \frac{8}{12} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{2}{3} $ by 4 gives $ \frac{8}{12} $.
Answer for 6:
$ \frac{2}{3} = \frac{8}{12} $
---
Problem 7
- Left Circle: Divided into 2 parts, 1 is shaded. This is the fraction $ \frac{1}{2} $.
- Right Circle: Divided into 6 parts, 3 are shaded. This is the fraction $ \frac{3}{6} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{1}{2} $ by 3 gives $ \frac{3}{6} $.
Answer for 7:
$ \frac{1}{2} = \frac{3}{6} $
---
Problem 8
- Left Circle: Divided into 6 parts, 4 are shaded. This is the fraction $ \frac{4}{6} $.
- Right Circle: Divided into 12 parts, 8 are shaded. This is the fraction $ \frac{8}{12} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{4}{6} $ by 2 gives $ \frac{8}{12} $.
Answer for 8:
$ \frac{4}{6} = \frac{8}{12} $
---
Problem 9
- Left Circle: Divided into 4 parts, 3 are shaded. This is the fraction $ \frac{3}{4} $.
- Right Circle: Divided into 16 parts, 12 are shaded. This is the fraction $ \frac{12}{16} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{3}{4} $ by 4 gives $ \frac{12}{16} $.
Answer for 9:
$ \frac{3}{4} = \frac{12}{16} $
---
Problem 10
- Left Circle: Divided into 6 parts, 4 are shaded. This is the fraction $ \frac{4}{6} $.
- Right Circle: Divided into 12 parts, 8 are shaded. This is the fraction $ \frac{8}{12} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{4}{6} $ by 2 gives $ \frac{8}{12} $.
Answer for 10:
$ \frac{4}{6} = \frac{8}{12} $
---
Problem 11
- Left Circle: Divided into 3 parts, 1 is shaded. This is the fraction $ \frac{1}{3} $.
- Right Circle: Divided into 6 parts, 2 are shaded. This is the fraction $ \frac{2}{6} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{1}{3} $ by 2 gives $ \frac{2}{6} $.
Answer for 11:
$ \frac{1}{3} = \frac{2}{6} $
---
Problem 12
- Left Circle: Divided into 8 parts, 6 are shaded. This is the fraction $ \frac{6}{8} $.
- Right Circle: Divided into 16 parts, 12 are shaded. This is the fraction $ \frac{12}{16} $.
- These are equivalent because multiplying the numerator and denominator of $ \frac{6}{8} $ by 2 gives $ \frac{12}{16} $.
Answer for 12:
$ \frac{6}{8} = \frac{12}{16} $
---
Final Answer
Here are the completed fractions for all problems:
2) $ \frac{3}{6} = \frac{6}{12} $
3) $ \frac{5}{8} = \frac{10}{16} $
4) $ \frac{3}{4} = \frac{12}{16} $
5) $ \frac{3}{5} = \frac{9}{15} $
6) $ \frac{2}{3} = \frac{8}{12} $
7) $ \frac{1}{2} = \frac{3}{6} $
8) $ \frac{4}{6} = \frac{8}{12} $
9) $ \frac{3}{4} = \frac{12}{16} $
10) $ \frac{4}{6} = \frac{8}{12} $
11) $ \frac{1}{3} = \frac{2}{6} $
12) $ \frac{6}{8} = \frac{12}{16} $
Parent Tip: Review the logic above to help your child master the concept of fraction worksheet third grade.
