Simplifying Fractions with Factors - Composite to Factored (Level 1)

These math problems focus on simplifying fractions by factoring both the numerator and the denominator to identify common factors that can be cancelled out. This topic involves skills in multiplication, division, identification of factors, and manipulation of fractions. The exercises challenge the students to factorize composite numbers into their prime or simplest components and then simplify the fractions by cancelling out common terms. The problems are structured to provide multiple choices, requiring a clear understanding of elementary factors and fraction simplification.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Factoring - Simplifying Fractions with Factors - Composite to Factored Worksheet

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Factoring - Simplifying Fractions with Factors - Composite to Factored
1
A LaTex expression showing 60 over 45 multiplied by 2
Use factorization to show what factors in this fraction can be cancelled out
a A LaTex expression showing 2 multiplied by 13 multiplied by 3 multiplied by 5 over 3 multiplied by 5 multiplied by 2
b A LaTex expression showing 2 multiplied by 2 multiplied by 3 multiplied by 5 over 3 multiplied by 3 multiplied by 5 multiplied by 2
2
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 9 multiplied by 6 over 2 multiplied by 63
a A LaTex expression showing 3 multiplied by 3 multiplied by 2 multiplied by 3 over 2 multiplied by 3 multiplied by 7 multiplied by 7
b A LaTex expression showing 3 multiplied by 3 multiplied by 3 multiplied by 7 multiplied by 3 over 2 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 7
c A LaTex expression showing 3 multiplied by 3 multiplied by 2 multiplied by 3 over 2 multiplied by 3 multiplied by 3 multiplied by 7
3
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 14 multiplied by 6 over 5 multiplied by 42
a A LaTex expression showing 2 multiplied by 7 multiplied by 2 multiplied by 3 over 5 multiplied by 2 multiplied by 3 multiplied by 7
b A LaTex expression showing 2 multiplied by 3 multiplied by 3 over 11 multiplied by 2 multiplied by 3 multiplied by 7
c A LaTex expression showing 11 multiplied by 7 multiplied by 7 multiplied by 2 multiplied by 3 over 5 multiplied by 5 multiplied by 2 multiplied by 3 multiplied by 7
4
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 15 multiplied by 6 over 2 multiplied by 27
a A LaTex expression showing 3 multiplied by 5 multiplied by 2 multiplied by 3 over 2 multiplied by 3 multiplied by 3 multiplied by 3
b A LaTex expression showing 3 multiplied by 3 multiplied by 5 multiplied by 2 multiplied by 3 over 2 multiplied by 5 multiplied by 2
c A LaTex expression showing 3 multiplied by 5 multiplied by 3 over 2 multiplied by 3 multiplied by 3 multiplied by 3
5
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 28 multiplied by 7 over 84
a A LaTex expression showing 2 multiplied by 2 multiplied by 2 multiplied by 7 over 2 multiplied by 2 multiplied by 3
b A LaTex expression showing 2 multiplied by 2 multiplied by 7 multiplied by 7 over 2 multiplied by 2 multiplied by 3 multiplied by 7
c A LaTex expression showing 2 multiplied by 7 multiplied by 7 over 2 multiplied by 2 multiplied by 3 multiplied by 7
6
A LaTex expression showing 35 multiplied by 10 over 7 multiplied by 70
Use factorization to show what factors in this fraction can be cancelled out
a A LaTex expression showing 5 multiplied by 7 multiplied by 2 multiplied by 5 over 7 multiplied by 2 multiplied by 5 multiplied by 7
b A LaTex expression showing 5 multiplied by 2 multiplied by 5 over 7 multiplied by 2 multiplied by 5 multiplied by 7
7
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 14 multiplied by 15 over 5 multiplied by 98
a A LaTex expression showing 7 multiplied by 7 multiplied by 3 multiplied by 5 over 5 multiplied by 5 multiplied by 2 multiplied by 7
b A LaTex expression showing 2 multiplied by 7 multiplied by 3 multiplied by 5 over 5 multiplied by 2 multiplied by 7 multiplied by 7
c A LaTex expression showing 7 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 2 over 5 multiplied by 5 multiplied by 2 multiplied by 7 multiplied by 7 multiplied by 7
8
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 10 multiplied by 9 over 25 multiplied by 6
a A LaTex expression showing 2 multiplied by 5 multiplied by 3 multiplied by 3 over 5 multiplied by 5 multiplied by 2 multiplied by 3
b A LaTex expression showing 2 multiplied by 2 multiplied by 5 multiplied by 3 over 2 multiplied by 5 multiplied by 5 multiplied by 2 multiplied by 3
c A LaTex expression showing 2 multiplied by 3 multiplied by 5 multiplied by 3 over 5 multiplied by 5 multiplied by 2 multiplied by 3