Simplifying Fraction Division with Factors - Composite to Factored (Level 1)

This math topic focuses on employing factorization techniques to simplify fraction divisions by converting composite numbers into their factored forms and identifying cancelable factors. The problems involve detailed steps showing how to factorize numerator and denominator terms, then invert the divisor, further factorizing if necessary, and finally simplifying by canceling out common factors. This practices essential skills in factoring, multiplication, division, and working with fractions, helping learners to improve their understanding and manipulation of algebraic expressions involving fractions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more
View

Factoring - Simplifying Fraction Division with Factors - Composite to Factored Worksheet

Mobius Math Academy logo
Factoring - Simplifying Fraction Division with Factors - Composite to Factored
1
A LaTex expression showing 15 over 1 divided by 36 over 4
Use factorization to simplify. Invert and factor to show what factors in this fraction division can be cancelled out
a A LaTex expression showing 3 multiplied by 5 over 1 multiplied by 2 multiplied by 2 over 13 multiplied by 2 multiplied by 3 multiplied by 3
b A LaTex expression showing 3 multiplied by 5 over 1 multiplied by 2 multiplied by 2 over 2 multiplied by 2 multiplied by 3 multiplied by 3
2
A LaTex expression showing 35 over 50 divided by 5 over 25
Use factorization to simplify. Invert and factor to show what factors in this fraction division can be cancelled out
a A LaTex expression showing 5 multiplied by 7 over 2 multiplied by 5 multiplied by 5 multiplied by 5 multiplied by 5 over 5
b A LaTex expression showing 5 multiplied by 7 over 2 multiplied by 2 multiplied by 5 multiplied by 5 multiplied by 5 multiplied by 5 over 5
3
A LaTex expression showing 5 over 10 divided by 15 over 18
Use factorization to simplify. Invert and factor to show what factors in this fraction division can be cancelled out
a A LaTex expression showing 5 over 2 multiplied by 5 multiplied by 2 multiplied by 3 multiplied by 3 over 3 multiplied by 5
b A LaTex expression showing 5 over 2 multiplied by 5 multiplied by 3 multiplied by 3 over 3 multiplied by 3 multiplied by 13
4
A LaTex expression showing 4 over 9 divided by 10 over 15
Use factorization to simplify. Invert and factor to show what factors in this fraction division can be cancelled out
a A LaTex expression showing 2 multiplied by 2 over 3 multiplied by 3 multiplied by 3 over 2 multiplied by 5
b A LaTex expression showing 2 multiplied by 2 over 3 multiplied by 3 multiplied by 3 multiplied by 5 over 2 multiplied by 5
5
A LaTex expression showing 2 over 100 divided by 1 over 70
Use factorization to simplify. Invert and factor to show what factors in this fraction division can be cancelled out
a A LaTex expression showing 2 multiplied by 2 over 13 multiplied by 5 multiplied by 11 multiplied by 2 multiplied by 5 multiplied by 5 multiplied by 7 over 1
b A LaTex expression showing 2 over 2 multiplied by 2 multiplied by 5 multiplied by 5 multiplied by 2 multiplied by 5 multiplied by 7 over 1
6
A LaTex expression showing 21 over 7 divided by 42 over 35
Use factorization to simplify. Invert and factor to show what factors in this fraction division can be cancelled out
a A LaTex expression showing 3 multiplied by 7 over 7 multiplied by 5 multiplied by 7 over 2 multiplied by 3 multiplied by 7
b A LaTex expression showing 3 multiplied by 7 over 7 multiplied by 5 multiplied by 7 over 3 multiplied by 7
7
A LaTex expression showing 5 over 40 divided by 1 over 12
Use factorization to simplify. Invert and factor to show what factors in this fraction division can be cancelled out
a A LaTex expression showing 2 over 2 multiplied by 2 multiplied by 2 multiplied by 5 multiplied by 2 multiplied by 3 over 1
b A LaTex expression showing 5 over 2 multiplied by 2 multiplied by 2 multiplied by 5 multiplied by 2 multiplied by 2 multiplied by 3 over 1
8
A LaTex expression showing 9 over 63 divided by 5 over 25
Use factorization to simplify. Invert and factor to show what factors in this fraction division can be cancelled out
a A LaTex expression showing 3 multiplied by 7 over 7 multiplied by 3 multiplied by 7 multiplied by 5 multiplied by 5 multiplied by 5 over 13
b A LaTex expression showing 3 multiplied by 3 over 3 multiplied by 3 multiplied by 7 multiplied by 5 multiplied by 5 over 5