Simplifying Fraction Multiplication with Factors - Composite to Simplified (Level 2)

This math topic focuses on enhancing skills in factoring and simplifying fractions through multiplication. It includes practicing how to break down composite fractions into their simplified forms. The problems provided involve multiple fractions that require students to apply factorization techniques to reduce the expressions to their simplest terms. Each problem presents a complex fraction multiplication scenario, and students are tasked with selecting the correct simplified result from multiple options. This practice is essential for understanding relationships between numbers and mastering fraction operations in a more advanced setting.

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

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Factoring - Simplifying Fraction Multiplication with Factors - Composite to Simplified Worksheet

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Factoring - Simplifying Fraction Multiplication with Factors - Composite to Simplified
1
Use factorization to simplify
A LaTex expression showing 42 over 3 multiplied by 5 over 50 multiplied by 15 over 35
a A LaTex expression showing 3 over 7
b A LaTex expression showing 7 over 2
c A LaTex expression showing 7 over 5
d A LaTex expression showing 2 over 3
e A LaTex expression showing 5 over 3
f A LaTex expression showing 3 over 5
2
Use factorization to simplify
A LaTex expression showing 75 over 70 multiplied by 42 over 15 multiplied by 1 over 7
a A LaTex expression showing 7 over 8
b A LaTex expression showing 2 over 7
c A LaTex expression showing 2 over 5
d A LaTex expression showing 3 over 7
e A LaTex expression showing 3 over 2
f A LaTex expression showing 2 over 3
3
Use factorization to simplify
A LaTex expression showing 50 over 7 multiplied by 1 over 28 multiplied by 70 over 25
a A LaTex expression showing 5 over 7
b A LaTex expression showing 3 over 2
c A LaTex expression showing 2 over 5
d A LaTex expression showing 7 over 8
e A LaTex expression showing 3 over 4
f A LaTex expression showing 2 over 3
4
Use factorization to simplify
A LaTex expression showing 60 over 6 multiplied by 3 over 10 multiplied by 3 over 15
a A LaTex expression showing 3 over 7
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 5 over 6
f A LaTex expression showing 2 over 3
5
Use factorization to simplify
A LaTex expression showing 70 over 35 multiplied by 2 over 4 multiplied by 14 over 35
a A LaTex expression showing 5 over 2
b A LaTex expression showing 7 over 2
c A LaTex expression showing 7 over 3
d A LaTex expression showing 2 over 3
e A LaTex expression showing 2 over 5
f A LaTex expression showing 3 over 2
6
Use factorization to simplify
A LaTex expression showing 42 over 7 multiplied by 14 over 12 multiplied by 2 over 49
a A LaTex expression showing 2 over 3
b A LaTex expression showing 7 over 2
c A LaTex expression showing 2 over 7
d A LaTex expression showing 3 over 2
e A LaTex expression showing 2 over 5
f A LaTex expression showing 7 over 3
7
Use factorization to simplify
A LaTex expression showing 70 over 35 multiplied by 6 over 5 multiplied by 7 over 12
a A LaTex expression showing 7 over 8
b A LaTex expression showing 3 over 2
c A LaTex expression showing 3 over 5
d A LaTex expression showing 7 over 2
e A LaTex expression showing 5 over 6
f A LaTex expression showing 7 over 5
8
Use factorization to simplify
A LaTex expression showing 75 over 2 multiplied by 7 over 42 multiplied by 4 over 10
a A LaTex expression showing 2 over 5
b A LaTex expression showing 7 over 3
c A LaTex expression showing 5 over 2
d A LaTex expression showing 5 over 6
e A LaTex expression showing 2 over 7
f A LaTex expression showing 3 over 2