Factorin

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.

more
View Unit

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

9×1430×3\frac{9 \times 14}{30 \times 3}

?

Factoring - Simplifying Fractions with Factors - Composite to Simplified Worksheet

Mobius Math Club logo
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 35 multiplied by 4 over 2 multiplied by 28
a A LaTex expression showing 5 over 7
b A LaTex expression showing 5 over 6
c A LaTex expression showing 3 over 5
d A LaTex expression showing 5 over 2
e A LaTex expression showing 5 over 3
f A LaTex expression showing 3 over 4
2
Use factorization to simplify this fraction
A LaTex expression showing 40 over 2 multiplied by 8
a A LaTex expression showing 5 over 2
b A LaTex expression showing 2 over 5
c A LaTex expression showing 5 over 7
d A LaTex expression showing 3 over 5
e A LaTex expression showing 5 over 3
f A LaTex expression showing 5 over 6
3
Use factorization to simplify this fraction
A LaTex expression showing 10 multiplied by 35 over 3 multiplied by 70
a A LaTex expression showing 5 over 3
b A LaTex expression showing 7 over 5
c A LaTex expression showing 2 over 3
d A LaTex expression showing 7 over 3
e A LaTex expression showing 5 over 7
f A LaTex expression showing 5 over 2
4
Use factorization to simplify this fraction
A LaTex expression showing 9 multiplied by 35 over 42 multiplied by 3
a A LaTex expression showing 2 over 3
b A LaTex expression showing 5 over 2
c A LaTex expression showing 5 over 3
d A LaTex expression showing 7 over 5
e A LaTex expression showing 3 over 2
f A LaTex expression showing 3 over 4
5
Use factorization to simplify this fraction
A LaTex expression showing 14 multiplied by 14 over 5 multiplied by 28
a A LaTex expression showing 5 over 3
b A LaTex expression showing 7 over 3
c A LaTex expression showing 7 over 5
d A LaTex expression showing 2 over 5
e A LaTex expression showing 7 over 2
f A LaTex expression showing 3 over 4
6
Use factorization to simplify this fraction
A LaTex expression showing 6 multiplied by 35 over 5 multiplied by 30
a A LaTex expression showing 2 over 3
b A LaTex expression showing 5 over 3
c A LaTex expression showing 3 over 7
d A LaTex expression showing 7 over 3
e A LaTex expression showing 7 over 5
f A LaTex expression showing 5 over 6
7
Use factorization to simplify this fraction
A LaTex expression showing 5 multiplied by 20 over 14 multiplied by 10
a A LaTex expression showing 7 over 8
b A LaTex expression showing 3 over 7
c A LaTex expression showing 2 over 3
d A LaTex expression showing 5 over 7
e A LaTex expression showing 7 over 2
f A LaTex expression showing 7 over 3