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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Factoring - Simplifying Fractions with Factors - Composite to Simplified
1
Use factorization to simplify this fraction
A LaTex expression showing 35 multiplied by 21 over 45 multiplied by 7
a A LaTex expression showing 3 over 4
b A LaTex expression showing 2 over 3
c A LaTex expression showing 7 over 8
d A LaTex expression showing 5 over 3
e A LaTex expression showing 7 over 3
f A LaTex expression showing 3 over 2
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 3 over 2
b A LaTex expression showing 7 over 8
c A LaTex expression showing 2 over 5
d A LaTex expression showing 7 over 2
e A LaTex expression showing 7 over 3
f A LaTex expression showing 5 over 7
3
Use factorization to simplify this fraction
A LaTex expression showing 63 multiplied by 3 over 9 multiplied by 6
a A LaTex expression showing 2 over 5
b A LaTex expression showing 7 over 2
c A LaTex expression showing 7 over 5
d A LaTex expression showing 7 over 8
e A LaTex expression showing 5 over 7
f A LaTex expression showing 3 over 2
4
Use factorization to simplify this fraction
A LaTex expression showing 2 multiplied by 28 over 14 multiplied by 10
a A LaTex expression showing 3 over 7
b A LaTex expression showing 2 over 3
c A LaTex expression showing 2 over 5
d A LaTex expression showing 5 over 7
e A LaTex expression showing 7 over 8
f A LaTex expression showing 7 over 2
5
Use factorization to simplify this fraction
A LaTex expression showing 10 multiplied by 35 over 21 multiplied by 25
a A LaTex expression showing 3 over 2
b A LaTex expression showing 7 over 8
c A LaTex expression showing 2 over 7
d A LaTex expression showing 3 over 7
e A LaTex expression showing 5 over 6
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 2 over 5
b A LaTex expression showing 2 over 7
c A LaTex expression showing 5 over 3
d A LaTex expression showing 2 over 3
e A LaTex expression showing 7 over 3
f A LaTex expression showing 7 over 8
7
Use factorization to simplify this fraction
A LaTex expression showing 9 multiplied by 35 over 42 multiplied by 3
a A LaTex expression showing 7 over 5
b A LaTex expression showing 5 over 3
c A LaTex expression showing 5 over 2
d A LaTex expression showing 3 over 2
e A LaTex expression showing 3 over 4
f A LaTex expression showing 2 over 3
8
Use factorization to simplify this fraction
A LaTex expression showing 35 multiplied by 10 over 75 multiplied by 7
a A LaTex expression showing 7 over 5
b A LaTex expression showing 5 over 6
c A LaTex expression showing 3 over 7
d A LaTex expression showing 7 over 8
e A LaTex expression showing 2 over 5
f A LaTex expression showing 2 over 3