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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Math worksheet on 'Factoring - Simplifying Fractions with Factors - Composite to Factored (Level 1)'. Part of a broader unit on 'Factoring, Multiplication, Division, Fractions - Intro' Learn online: app.mobius.academy/math/units/factoring_multiplication_division_fractions_intro/
1
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 6 multiplied by 10 over 2 multiplied by 45
a A LaTex expression showing 2 multiplied by 2 multiplied by 3 multiplied by 2 multiplied by 5 over 2 multiplied by 3 multiplied by 3 multiplied by 5
b A LaTex expression showing 2 multiplied by 2 multiplied by 3 multiplied by 2 multiplied by 5 over 2 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 3
c A LaTex expression showing 2 multiplied by 3 multiplied by 2 multiplied by 5 over 2 multiplied by 3 multiplied by 3 multiplied by 5
2
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 30 multiplied by 2 over 90
a A LaTex expression showing 2 multiplied by 3 multiplied by 5 multiplied by 2 over 2 multiplied by 3 multiplied by 3 multiplied by 5
b A LaTex expression showing 2 multiplied by 2 multiplied by 3 multiplied by 5 multiplied by 2 over 2 multiplied by 3 multiplied by 3 multiplied by 5
c A LaTex expression showing 2 multiplied by 3 multiplied by 5 over 2 multiplied by 2 multiplied by 3 multiplied by 13 multiplied by 5
3
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 3 multiplied by 70 over 14 multiplied by 10
a A LaTex expression showing 3 multiplied by 2 multiplied by 7 over 5 multiplied by 2 multiplied by 5
b A LaTex expression showing 3 multiplied by 2 multiplied by 5 multiplied by 7 over 2 multiplied by 2 multiplied by 5 multiplied by 5
c A LaTex expression showing 3 multiplied by 2 multiplied by 5 multiplied by 7 over 2 multiplied by 7 multiplied by 2 multiplied by 5
4
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 18 multiplied by 3 over 9 multiplied by 9
a A LaTex expression showing 2 multiplied by 3 multiplied by 3 multiplied by 3 over 3 multiplied by 3 multiplied by 3 multiplied by 3
b A LaTex expression showing 2 multiplied by 3 over 3 multiplied by 3 multiplied by 3 multiplied by 5
c A LaTex expression showing 2 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 over 3 multiplied by 3 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 21 multiplied by 35 over 7 multiplied by 75
a A LaTex expression showing 3 multiplied by 7 multiplied by 5 multiplied by 7 over 7 multiplied by 3 multiplied by 5 multiplied by 5
b A LaTex expression showing 3 multiplied by 3 multiplied by 7 multiplied by 5 multiplied by 7 over 7 multiplied by 7 multiplied by 5
c A LaTex expression showing 3 multiplied by 7 multiplied by 5 multiplied by 5 multiplied by 7 over 7 multiplied by 3 multiplied by 5 multiplied by 5 multiplied by 5
6
A LaTex expression showing 28 multiplied by 3 over 5 multiplied by 42
Use factorization to show what factors in this fraction can be cancelled out
a A LaTex expression showing 2 multiplied by 2 multiplied by 7 multiplied by 3 over 5 multiplied by 2 multiplied by 3 multiplied by 7
b A LaTex expression showing 2 multiplied by 2 multiplied by 7 multiplied by 3 over 5 multiplied by 2 multiplied by 7
7
A LaTex expression showing 14 multiplied by 35 over 5 multiplied by 70
Use factorization to show what factors in this fraction can be cancelled out
a A LaTex expression showing 2 multiplied by 7 multiplied by 5 multiplied by 7 over 5 multiplied by 2 multiplied by 5 multiplied by 7
b A LaTex expression showing 2 multiplied by 7 multiplied by 5 over 5 multiplied by 2 multiplied by 7 multiplied by 7
Factoring - Simplifying Fractions with Factors - Composite to Factored (Level 1) - Mobius Math