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Factoring - 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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Simplifying Fractions with Factors - Composite to Simplified

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Use factorization to simplify this fraction

42×221×14\frac{42 \times 2}{21 \times 14}

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 - Intro' Learn online: app.mobius.academy/math/units/factoring_multiplication_division_fractions_intro/
1
Use factorization to simplify this fraction
A LaTex expression showing 63 multiplied by 3 over 9 multiplied by 6
a A LaTex expression showing 3 over 2
b A LaTex expression showing 5 over 7
c A LaTex expression showing 7 over 8
d A LaTex expression showing 7 over 5
e A LaTex expression showing 7 over 2
f A LaTex expression showing 2 over 5
2
Use factorization to simplify this fraction
A LaTex expression showing 2 multiplied by 50 over 10 multiplied by 25
a A LaTex expression showing 3 over 4
b A LaTex expression showing 2 over 7
c A LaTex expression showing 3 over 5
d A LaTex expression showing 7 over 8
e A LaTex expression showing 7 over 5
f A LaTex expression showing 2 over 5
3
Use factorization to simplify this fraction
A LaTex expression showing 2 multiplied by 12 over 4 multiplied by 15
a A LaTex expression showing 7 over 3
b A LaTex expression showing 5 over 2
c A LaTex expression showing 2 over 7
d A LaTex expression showing 7 over 8
e A LaTex expression showing 7 over 5
f A LaTex expression showing 2 over 5
4
Use factorization to simplify this fraction
A LaTex expression showing 21 multiplied by 10 over 42 multiplied by 7
a A LaTex expression showing 3 over 7
b A LaTex expression showing 2 over 7
c A LaTex expression showing 7 over 8
d A LaTex expression showing 5 over 3
e A LaTex expression showing 5 over 7
f A LaTex expression showing 7 over 2
5
Use factorization to simplify this fraction
A LaTex expression showing 10 multiplied by 35 over 3 multiplied by 70
a A LaTex expression showing 7 over 5
b A LaTex expression showing 5 over 2
c A LaTex expression showing 5 over 3
d A LaTex expression showing 5 over 7
e A LaTex expression showing 7 over 3
f A LaTex expression showing 2 over 3
6
Use factorization to simplify this fraction
A LaTex expression showing 10 multiplied by 35 over 50 multiplied by 5
a A LaTex expression showing 2 over 3
b A LaTex expression showing 7 over 3
c A LaTex expression showing 5 over 6
d A LaTex expression showing 7 over 5
e A LaTex expression showing 3 over 5
f A LaTex expression showing 2 over 7
7
Use factorization to simplify this fraction
A LaTex expression showing 24 over 6 multiplied by 6
a A LaTex expression showing 2 over 7
b A LaTex expression showing 3 over 5
c A LaTex expression showing 5 over 3
d A LaTex expression showing 2 over 3
e A LaTex expression showing 3 over 7
f A LaTex expression showing 3 over 4