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

This math topic focuses on practicing the simplification of complex fractions through factorization. It involves using basic arithmetic operations such as multiplication and division, along with understanding of fractions, to factorize and simplify the expressions. By applying these concepts, students learn to convert composite fractions into a simplified form. Each problem provides a complex fraction and prompts students to simplify it to its lowest terms using factorization techniques, an essential skill for algebraic manipulation and problem solving in mathematics.

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 Simplified Worksheet

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Factoring - Simplifying Fraction Division with Factors - Composite to Simplified
1
Use factorization to simplify
A LaTex expression showing 10 over 3 divided by 12 over 9
a A LaTex expression showing 2 over 3
b A LaTex expression showing 5 over 2
c A LaTex expression showing 3 over 5
d A LaTex expression showing 3 over 2
e A LaTex expression showing 3 over 4
f A LaTex expression showing 2 over 7
2
Use factorization to simplify
A LaTex expression showing 10 over 1 divided by 84 over 14
a A LaTex expression showing 7 over 2
b A LaTex expression showing 7 over 8
c A LaTex expression showing 5 over 7
d A LaTex expression showing 5 over 3
e A LaTex expression showing 7 over 3
f A LaTex expression showing 3 over 5
3
Use factorization to simplify
A LaTex expression showing 35 over 1 divided by 90 over 6
a A LaTex expression showing 5 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 3
e A LaTex expression showing 3 over 4
f A LaTex expression showing 7 over 2
4
Use factorization to simplify
A LaTex expression showing 5 over 35 divided by 14 over 70
a A LaTex expression showing 7 over 5
b A LaTex expression showing 3 over 2
c A LaTex expression showing 5 over 7
d A LaTex expression showing 3 over 4
e A LaTex expression showing 2 over 3
f A LaTex expression showing 2 over 7
5
Use factorization to simplify
A LaTex expression showing 12 over 6 divided by 6 over 5
a A LaTex expression showing 7 over 5
b A LaTex expression showing 5 over 3
c A LaTex expression showing 5 over 6
d A LaTex expression showing 2 over 5
e A LaTex expression showing 7 over 2
f A LaTex expression showing 2 over 3
6
Use factorization to simplify
A LaTex expression showing 9 over 63 divided by 3 over 9
a A LaTex expression showing 7 over 2
b A LaTex expression showing 3 over 7
c A LaTex expression showing 3 over 2
d A LaTex expression showing 7 over 5
e A LaTex expression showing 5 over 7
f A LaTex expression showing 5 over 6
7
Use factorization to simplify
A LaTex expression showing 14 over 98 divided by 3 over 15
a A LaTex expression showing 5 over 7
b A LaTex expression showing 2 over 7
c A LaTex expression showing 2 over 3
d A LaTex expression showing 7 over 8
e A LaTex expression showing 2 over 5
f A LaTex expression showing 5 over 3
8
Use factorization to simplify
A LaTex expression showing 18 over 9 divided by 14 over 5
a A LaTex expression showing 5 over 7
b A LaTex expression showing 7 over 2
c A LaTex expression showing 3 over 5
d A LaTex expression showing 5 over 2
e A LaTex expression showing 5 over 6
f A LaTex expression showing 2 over 3