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

This math topic focuses on simplifying fraction multiplication through factorization. Students practice identifying and cancelling out common factors in the numerators and denominators of multiple fractions that are multiplied together. The problems encourage students to apply their knowledge of factoring, multiplication, and division skills within the context of fractions. Each question provides a visual representation of fraction multiplication involving large numbers and composite factors, along with multiple-choice answers that demonstrate different factorization outcomes.

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

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Simplifying Fraction Multiplication with Factors - Composite to Factored

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

Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out

16×3010×306\frac{1}{6} \times \frac{30}{10} \times \frac{30}{6}

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

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Math worksheet on 'Factoring - Simplifying Fraction Multiplication with Factors - Composite to Factored (Level 2)'. Part of a broader unit on 'Factoring, Multiplication, Division, Fractions - Practice' Learn online: app.mobius.academy/math/units/factoring_multiplication_division_fractions_practice/
1
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 1 over 6 multiplied by 90 over 15 multiplied by 21 over 6
a A LaTex expression showing 1 over 2 multiplied by 2 multiplied by 3 multiplied by 5 multiplied by 3 multiplied by 3 multiplied by 5 over 3 multiplied by 5 multiplied by 3 multiplied by 7 over 2 multiplied by 3
b A LaTex expression showing 1 over 2 multiplied by 3 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 5 over 3 multiplied by 5 multiplied by 3 multiplied by 7 over 2 multiplied by 3
c A LaTex expression showing 1 over 2 multiplied by 3 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 5 over 3 multiplied by 5 multiplied by 3 multiplied by 7 over 3 multiplied by 3
d A LaTex expression showing 1 over 3 multiplied by 2 multiplied by 5 multiplied by 3 multiplied by 5 over 3 multiplied by 5 multiplied by 3 multiplied by 13 over 2 multiplied by 3
e A LaTex expression showing 1 over 2 multiplied by 3 multiplied by 2 multiplied by 11 multiplied by 3 multiplied by 11 over 3 multiplied by 5 multiplied by 3 multiplied by 7 multiplied by 7 over 2 multiplied by 3
f A LaTex expression showing 1 over 3 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 2 over 3 multiplied by 5 multiplied by 3 multiplied by 3 multiplied by 7 over 2 multiplied by 3
2
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 8 over 14 multiplied by 3 over 35 multiplied by 49 over 4
a A LaTex expression showing 2 multiplied by 2 over 2 multiplied by 7 multiplied by 7 multiplied by 3 multiplied by 3 over 7 multiplied by 7 multiplied by 7 over 2 multiplied by 2
b A LaTex expression showing 2 multiplied by 2 multiplied by 2 over 2 multiplied by 7 multiplied by 3 multiplied by 3 over 13 multiplied by 7 multiplied by 11 multiplied by 7 over 2 multiplied by 2
c A LaTex expression showing 2 multiplied by 7 over 2 multiplied by 7 multiplied by 3 over 5 multiplied by 7 multiplied by 7 multiplied by 7 over 2 multiplied by 2
d A LaTex expression showing 2 multiplied by 2 multiplied by 2 over 3 multiplied by 7 multiplied by 3 over 5 multiplied by 7 multiplied by 7 multiplied by 7 over 2 multiplied by 3
e A LaTex expression showing 2 multiplied by 2 multiplied by 2 over 2 multiplied by 7 multiplied by 3 over 5 multiplied by 7 multiplied by 7 multiplied by 7 over 2 multiplied by 2
f A LaTex expression showing 3 multiplied by 2 over 2 multiplied by 3 over 5 multiplied by 7 multiplied by 7 multiplied by 7 over 2 multiplied by 2
3
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 8 over 2 multiplied by 5 over 100 multiplied by 6 over 3
a A LaTex expression showing 2 multiplied by 2 over 2 multiplied by 3 over 3 multiplied by 2 multiplied by 5 multiplied by 5 multiplied by 2 multiplied by 3 multiplied by 3 over 3
b A LaTex expression showing 2 multiplied by 2 multiplied by 2 over 2 multiplied by 5 over 2 multiplied by 2 multiplied by 5 multiplied by 5 multiplied by 2 multiplied by 3 over 3
c A LaTex expression showing 2 multiplied by 2 multiplied by 2 over 2 multiplied by 5 over 5 multiplied by 2 multiplied by 5 multiplied by 2 multiplied by 5 over 3
d A LaTex expression showing 2 multiplied by 2 multiplied by 2 multiplied by 2 over 2 multiplied by 5 multiplied by 5 over 2 multiplied by 2 multiplied by 2 multiplied by 5 multiplied by 5 multiplied by 2 multiplied by 3 over 3
e A LaTex expression showing 2 multiplied by 2 multiplied by 2 over 2 multiplied by 5 over 2 multiplied by 2 multiplied by 7 multiplied by 5 multiplied by 2 multiplied by 2 multiplied by 5 over 3
f A LaTex expression showing 3 multiplied by 2 multiplied by 2 over 2 multiplied by 3 over 2 multiplied by 5 multiplied by 2 multiplied by 3 over 3
4
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 4 over 15 multiplied by 21 over 12 multiplied by 25 over 7
a A LaTex expression showing 3 multiplied by 2 over 3 multiplied by 5 multiplied by 3 multiplied by 7 over 2 multiplied by 2 multiplied by 2 multiplied by 3 multiplied by 5 multiplied by 5 over 7
b A LaTex expression showing 2 multiplied by 2 over 3 multiplied by 5 multiplied by 3 multiplied by 7 over 13 multiplied by 2 multiplied by 3 multiplied by 5 multiplied by 5 multiplied by 5 over 7 multiplied by 7
c A LaTex expression showing 2 multiplied by 2 over 3 multiplied by 2 multiplied by 11 over 2 multiplied by 2 multiplied by 3 multiplied by 5 multiplied by 5 over 7
d A LaTex expression showing 2 multiplied by 2 over 3 multiplied by 3 multiplied by 5 multiplied by 5 multiplied by 7 over 2 multiplied by 5 over 7
e A LaTex expression showing 2 multiplied by 2 over 3 multiplied by 5 multiplied by 3 multiplied by 7 over 2 multiplied by 2 multiplied by 3 multiplied by 5 multiplied by 5 over 7
f A LaTex expression showing 2 over 3 multiplied by 5 multiplied by 3 multiplied by 7 over 2 multiplied by 3 multiplied by 5 multiplied by 5 over 7
5
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 45 over 36 multiplied by 18 over 5 multiplied by 1 over 3
a A LaTex expression showing 3 multiplied by 3 multiplied by 3 multiplied by 5 over 2 multiplied by 2 multiplied by 3 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 3 over 13 multiplied by 1 over 3
b A LaTex expression showing 3 multiplied by 3 multiplied by 3 multiplied by 5 over 2 multiplied by 3 multiplied by 2 multiplied by 3 multiplied by 7 over 2 multiplied by 5 over 3
c A LaTex expression showing 3 multiplied by 3 multiplied by 5 over 2 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 2 multiplied by 3 multiplied by 3 over 5 multiplied by 1 over 3
d A LaTex expression showing 3 multiplied by 5 over 2 multiplied by 2 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 3 over 5 multiplied by 1 over 3
e A LaTex expression showing 3 multiplied by 3 multiplied by 5 over 2 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 2 multiplied by 3 multiplied by 3 over 5 multiplied by 1 over 3
f A LaTex expression showing 13 multiplied by 3 multiplied by 5 over 2 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 2 multiplied by 3 multiplied by 3 over 5 multiplied by 7 over 3
6
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 2 over 18 multiplied by 45 over 21 multiplied by 35 over 5
a A LaTex expression showing 2 over 2 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 5 over 3 multiplied by 7 multiplied by 5 multiplied by 7 over 5
b A LaTex expression showing 5 over 2 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 2 multiplied by 5 over 3 multiplied by 7 multiplied by 13 over 5
c A LaTex expression showing 2 over 2 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 5 over 3 multiplied by 7 multiplied by 5 multiplied by 7 over 2
d A LaTex expression showing 2 over 2 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 5 over 11 multiplied by 7 multiplied by 5 multiplied by 13 over 5
e A LaTex expression showing 2 over 2 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 5 over 3 multiplied by 7 multiplied by 7 over 5
f A LaTex expression showing 2 over 2 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 over 3 multiplied by 7 multiplied by 5 multiplied by 7 over 5
7
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 3 over 6 multiplied by 63 over 9 multiplied by 14 over 21
a A LaTex expression showing 3 over 2 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 7 multiplied by 7 over 3 multiplied by 3 multiplied by 2 multiplied by 2 multiplied by 7 over 3
b A LaTex expression showing 3 over 2 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 7 over 3 multiplied by 3 multiplied by 2 multiplied by 7 over 3 multiplied by 7
c A LaTex expression showing 3 over 2 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 7 over 3 multiplied by 2 multiplied by 2 multiplied by 7 over 3 multiplied by 7
d A LaTex expression showing 3 over 2 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 7 over 3 multiplied by 3 multiplied by 2 multiplied by 5 over 3 multiplied by 7
e A LaTex expression showing 3 multiplied by 3 over 2 multiplied by 3 multiplied by 3 multiplied by 13 over 3 multiplied by 3 multiplied by 2 multiplied by 7 over 3 multiplied by 7