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.

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

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Math worksheet on 'Factoring - Simplifying Fraction Division with Factors - Composite to Factored (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
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 3 multiplied by 3 over 3 multiplied by 3 multiplied by 13
b A LaTex expression showing 5 over 2 multiplied by 5 multiplied by 2 multiplied by 3 multiplied by 3 over 3 multiplied by 5
2
A LaTex expression showing 20 over 14 divided by 10 over 2
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 multiplied by 5 over 2 multiplied by 7 multiplied by 2 over 2 multiplied by 5
b A LaTex expression showing 2 multiplied by 2 multiplied by 5 over 2 multiplied by 7 multiplied by 2 over 5
3
A LaTex expression showing 5 over 15 divided by 10 over 42
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 3 multiplied by 5 multiplied by 2 multiplied by 3 multiplied by 7 over 2 multiplied by 5
b A LaTex expression showing 7 over 5 multiplied by 5 multiplied by 7 multiplied by 3 multiplied by 7 over 2 multiplied by 5
4
A LaTex expression showing 28 over 2 divided by 70 over 7
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 multiplied by 7 over 2 multiplied by 7 over 2 multiplied by 5 multiplied by 7 multiplied by 7
b A LaTex expression showing 2 multiplied by 2 multiplied by 7 over 2 multiplied by 7 over 2 multiplied by 5 multiplied by 7
5
A LaTex expression showing 4 over 2 divided by 28 over 10
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 13 over 5 multiplied by 2 multiplied by 7
b A LaTex expression showing 2 multiplied by 2 over 2 multiplied by 2 multiplied by 5 over 2 multiplied by 2 multiplied by 7
6
A LaTex expression showing 50 over 18 divided by 5 over 3
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 multiplied by 5 over 2 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 over 5
b A LaTex expression showing 2 multiplied by 5 multiplied by 5 over 2 multiplied by 3 multiplied by 3 multiplied by 3 over 5
7
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