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

This math topic focuses on the skill of simplifying fractions through factorization. Students practice converting composite fractions into their simplest forms by identifying and canceling common factors in the numerator and denominator. It is a foundational exercise within a broader unit that includes factoring, multiplication, division, and general fraction work. The problems are structured to encourage mastery of simplifying diverse and complex fraction expressions, strengthening students' understanding of basic algebraic concepts and operations.

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 Simplified Worksheet

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Math worksheet on 'Factoring - Simplifying Fractions with Factors - Composite to Simplified (Level 1)'. Part of a broader unit on 'Factoring, Multiplication, Division, Fractions - Practice' Learn online: app.mobius.academy/math/units/factoring_multiplication_division_fractions_practice/
1
Use factorization to simplify this fraction
A LaTex expression showing 24 over 6 multiplied by 6
a A LaTex expression showing 3 over 5
b A LaTex expression showing 2 over 7
c A LaTex expression showing 2 over 3
d A LaTex expression showing 3 over 4
e A LaTex expression showing 5 over 3
f A LaTex expression showing 3 over 7
2
Use factorization to simplify this fraction
A LaTex expression showing 6 multiplied by 14 over 9 multiplied by 4
a A LaTex expression showing 7 over 2
b A LaTex expression showing 7 over 3
c A LaTex expression showing 2 over 5
d A LaTex expression showing 7 over 8
e A LaTex expression showing 3 over 2
f A LaTex expression showing 5 over 7
3
Use factorization to simplify this fraction
A LaTex expression showing 10 multiplied by 4 over 5 multiplied by 20
a A LaTex expression showing 2 over 3
b A LaTex expression showing 3 over 5
c A LaTex expression showing 5 over 3
d A LaTex expression showing 7 over 5
e A LaTex expression showing 2 over 5
f A LaTex expression showing 2 over 7
4
Use factorization to simplify this fraction
A LaTex expression showing 2 multiplied by 12 over 4 multiplied by 15
a A LaTex expression showing 2 over 7
b A LaTex expression showing 7 over 5
c A LaTex expression showing 2 over 5
d A LaTex expression showing 7 over 8
e A LaTex expression showing 5 over 2
f A LaTex expression showing 7 over 3
5
Use factorization to simplify this fraction
A LaTex expression showing 9 multiplied by 14 over 30 multiplied by 3
a A LaTex expression showing 3 over 7
b A LaTex expression showing 7 over 2
c A LaTex expression showing 7 over 5
d A LaTex expression showing 2 over 5
e A LaTex expression showing 3 over 4
f A LaTex expression showing 2 over 3
6
Use factorization to simplify this fraction
A LaTex expression showing 4 multiplied by 14 over 2 multiplied by 12
a A LaTex expression showing 7 over 3
b A LaTex expression showing 2 over 5
c A LaTex expression showing 7 over 8
d A LaTex expression showing 2 over 7
e A LaTex expression showing 2 over 3
f A LaTex expression showing 5 over 3
7
Use factorization to simplify this fraction
A LaTex expression showing 24 over 10 multiplied by 4
a A LaTex expression showing 3 over 5
b A LaTex expression showing 2 over 3
c A LaTex expression showing 7 over 8
d A LaTex expression showing 3 over 4
e A LaTex expression showing 3 over 7
f A LaTex expression showing 5 over 7
Factoring - Simplifying Fractions with Factors - Composite to Simplified (Level 1) - Mobius Math