Simplifying Fraction Multiplication with Factors - Composite to Factored (Level 1)

This math topic covers the skill of simplifying fraction multiplication through factorization, specifically transitioning from composite numbers to their factored forms. Students practice identifying and cancelling out common factors in multiplicative fractions and express their operations on various complex fractions. The focus is on recognizing factorable numbers in the numerator and denominator of fractions, optimizing them to simpler terms. This set of problems enhances understanding of multiplication and division within the framework of fractions and factorization.

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 Factored Worksheet

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Math worksheet on 'Factoring - Simplifying Fraction Multiplication 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
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 7 over 4 multiplied by 12 over 14
a A LaTex expression showing 7 over 2 multiplied by 2 multiplied by 2 multiplied by 2 multiplied by 2 multiplied by 2 multiplied by 11 over 2 multiplied by 11
b A LaTex expression showing 7 over 2 multiplied by 2 multiplied by 2 multiplied by 2 multiplied by 3 over 2 multiplied by 7
c A LaTex expression showing 7 over 11 multiplied by 2 multiplied by 2 multiplied by 2 multiplied by 3 over 2 multiplied by 7
2
A LaTex expression showing 35 over 21 multiplied by 9 over 21
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
a A LaTex expression showing 5 multiplied by 7 over 3 multiplied by 7 multiplied by 3 multiplied by 3 over 3 multiplied by 7
b A LaTex expression showing 5 multiplied by 7 over 3 multiplied by 11 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 over 3 multiplied by 7
3
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 2 over 5 multiplied by 70 over 20
a A LaTex expression showing 2 over 5 multiplied by 2 multiplied by 5 multiplied by 7 over 2 multiplied by 2 multiplied by 5
b A LaTex expression showing 2 over 5 multiplied by 2 multiplied by 5 multiplied by 7 over 2
c A LaTex expression showing 3 over 2 multiplied by 2 multiplied by 5 multiplied by 7 multiplied by 7 over 2 multiplied by 3 multiplied by 5
4
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 12 over 4 multiplied by 2 over 4
a A LaTex expression showing 2 multiplied by 2 multiplied by 3 over 2 multiplied by 2 multiplied by 2 over 2 multiplied by 2
b A LaTex expression showing 2 multiplied by 2 multiplied by 2 multiplied by 2 multiplied by 3 over 2 multiplied by 2 multiplied by 2 multiplied by 2 multiplied by 2 over 2 multiplied by 2 multiplied by 2
c A LaTex expression showing 2 multiplied by 2 multiplied by 2 over 2 multiplied by 2 multiplied by 11 over 2
5
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 2 over 9 multiplied by 45 over 6
a A LaTex expression showing 2 over 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 5 over 2 multiplied by 3
b A LaTex expression showing 7 over 3 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 5 over 2 multiplied by 2 multiplied by 3
c A LaTex expression showing 2 over 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 5 over 2 multiplied by 3
6
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 15 over 42 multiplied by 6 over 3
a A LaTex expression showing 3 multiplied by 5 over 2 multiplied by 3 multiplied by 7 multiplied by 2 multiplied by 3 over 3
b A LaTex expression showing 3 multiplied by 3 multiplied by 5 over 2 multiplied by 11 multiplied by 7 multiplied by 2 multiplied by 2 multiplied by 3 over 3
c A LaTex expression showing 3 multiplied by 3 over 2 multiplied by 3 multiplied by 7 multiplied by 2 multiplied by 3 over 5
7
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 40 over 10 multiplied by 1 over 6
a A LaTex expression showing 2 multiplied by 2 multiplied by 2 multiplied by 5 multiplied by 5 over 2 multiplied by 1 over 5 multiplied by 5
b A LaTex expression showing 2 multiplied by 2 multiplied by 2 multiplied by 5 over 2 multiplied by 5 multiplied by 1 over 2 multiplied by 3
c A LaTex expression showing 2 multiplied by 2 multiplied by 2 multiplied by 2 multiplied by 5 multiplied by 5 over 2 multiplied by 5 multiplied by 3 over 2 multiplied by 3
Factoring - Simplifying Fraction Multiplication with Factors - Composite to Factored (Level 1) - Mobius Math