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

This math topic focuses on practicing the simplification of fraction division through factorization. It is designed to help strengthen skills in factoring, multiplication, division, and handling fractions. Each problem presents a complex fraction involving multiplication and division, and students are required to factorize and simplify these expressions to determine the correct answer from multiple choices. The topic not only reinforces arithmetic operations with fractions but also emphasizes the application of factoring to simplify numerical expressions effectively.

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

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Simplifying Fraction Division with Factors - Factored to Simplified

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Use factorization to simplify

2×3×75×5÷2×75\frac{2 \times 3 \times 7}{5 \times 5} \div \frac{2 \times 7}{5}

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

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Math worksheet on 'Factoring - Simplifying Fraction Division with Factors - Factored 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
A LaTex expression showing 3 multiplied by 5 over 2 divided by 3 multiplied by 3 multiplied by 5 over 3 multiplied by 3
a A LaTex expression showing 3 over 2
b A LaTex expression showing 7 over 3
c A LaTex expression showing 5 over 7
d A LaTex expression showing 3 over 4
e A LaTex expression showing 2 over 5
f A LaTex expression showing 5 over 6
2
Use factorization to simplify
A LaTex expression showing 2 multiplied by 2 multiplied by 3 multiplied by 5 over 2 multiplied by 5 divided by 3 multiplied by 5 over 1
a A LaTex expression showing 3 over 5
b A LaTex expression showing 7 over 8
c A LaTex expression showing 2 over 3
d A LaTex expression showing 7 over 2
e A LaTex expression showing 2 over 5
f A LaTex expression showing 5 over 7
3
Use factorization to simplify
A LaTex expression showing 2 over 2 multiplied by 7 divided by 3 multiplied by 7 over 2 multiplied by 3 multiplied by 7
a A LaTex expression showing 2 over 3
b A LaTex expression showing 7 over 2
c A LaTex expression showing 3 over 5
d A LaTex expression showing 2 over 7
e A LaTex expression showing 3 over 4
f A LaTex expression showing 2 over 5
4
Use factorization to simplify
A LaTex expression showing 2 multiplied by 2 multiplied by 7 over 1 divided by 2 multiplied by 2 multiplied by 2 multiplied by 3 over 2
a A LaTex expression showing 7 over 3
b A LaTex expression showing 2 over 3
c A LaTex expression showing 5 over 6
d A LaTex expression showing 7 over 8
e A LaTex expression showing 3 over 7
f A LaTex expression showing 3 over 4
5
Use factorization to simplify
A LaTex expression showing 2 multiplied by 5 multiplied by 5 over 3 multiplied by 5 divided by 2 multiplied by 5 over 5
a A LaTex expression showing 3 over 2
b A LaTex expression showing 5 over 3
c A LaTex expression showing 7 over 8
d A LaTex expression showing 2 over 5
e A LaTex expression showing 2 over 3
f A LaTex expression showing 7 over 2
6
Use factorization to simplify
A LaTex expression showing 7 multiplied by 7 over 3 divided by 2 multiplied by 7 multiplied by 7 over 3 multiplied by 5
a A LaTex expression showing 5 over 2
b A LaTex expression showing 3 over 5
c A LaTex expression showing 2 over 3
d A LaTex expression showing 3 over 7
e A LaTex expression showing 5 over 7
f A LaTex expression showing 3 over 4
7
Use factorization to simplify
A LaTex expression showing 3 multiplied by 5 over 2 multiplied by 3 multiplied by 3 divided by 7 over 2 multiplied by 7
a A LaTex expression showing 7 over 2
b A LaTex expression showing 2 over 5
c A LaTex expression showing 5 over 3
d A LaTex expression showing 3 over 4
e A LaTex expression showing 3 over 7
f A LaTex expression showing 5 over 7