HomePricing
Sign InJoin

Factoring - 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.

View Unit

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

342×122\frac{3}{42} \times \frac{12}{2}

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

Mobius Math Club logo
Math worksheet on 'Factoring - Simplifying Fraction Multiplication with Factors - Composite to Factored (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 by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 15 over 70 multiplied by 6 over 3
a A LaTex expression showing 13 multiplied by 5 over 5 multiplied by 7 multiplied by 2 multiplied by 2 multiplied by 3 over 3 multiplied by 3
b A LaTex expression showing 3 over 2 multiplied by 5 multiplied by 5 multiplied by 7 multiplied by 2 multiplied by 3 over 3
c A LaTex expression showing 3 over 2 multiplied by 5 multiplied by 7 multiplied by 7 multiplied by 2 multiplied by 3 over 7
d A LaTex expression showing 3 multiplied by 5 over 2 multiplied by 5 multiplied by 7 multiplied by 2 multiplied by 3 over 3
e A LaTex expression showing 3 multiplied by 5 over 2 multiplied by 5 multiplied by 5 multiplied by 7 multiplied by 3 over 3
f A LaTex expression showing 5 multiplied by 5 over 2 multiplied by 5 multiplied by 7 multiplied by 2 multiplied by 2 multiplied by 2 over 3
2
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 6 over 5 multiplied by 15 over 30
a A LaTex expression showing 2 multiplied by 3 over 5 multiplied by 3 multiplied by 3 multiplied by 5 over 2 multiplied by 5
b A LaTex expression showing 13 multiplied by 3 over 5 multiplied by 3 multiplied by 5 over 2 multiplied by 3 multiplied by 5
c A LaTex expression showing 2 multiplied by 3 over 5 multiplied by 3 multiplied by 5 over 2 multiplied by 3 multiplied by 5
d A LaTex expression showing 2 multiplied by 3 over 5 multiplied by 3 multiplied by 5 over 2 multiplied by 3
e A LaTex expression showing 2 multiplied by 7 over 5 multiplied by 3 multiplied by 3 multiplied by 5 over 2 multiplied by 3 multiplied by 5
f A LaTex expression showing 13 multiplied by 3 multiplied by 3 over 5 multiplied by 3 multiplied by 3 multiplied by 5 over 2 multiplied by 3 multiplied by 5
3
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 12 over 28 multiplied by 2 over 3
a A LaTex expression showing 2 multiplied by 2 multiplied by 3 multiplied by 3 over 2 multiplied by 3 multiplied by 7 multiplied by 2 over 3
b A LaTex expression showing 2 multiplied by 2 multiplied by 3 over 2 multiplied by 2 multiplied by 7 multiplied by 2 over 3
c A LaTex expression showing 3 multiplied by 11 over 7 multiplied by 2 multiplied by 7 multiplied by 2 over 3
d A LaTex expression showing 2 multiplied by 2 multiplied by 2 multiplied by 3 over 2 multiplied by 2 multiplied by 2 multiplied by 7 multiplied by 2 multiplied by 2 over 3
e A LaTex expression showing 2 multiplied by 2 multiplied by 3 over 3 multiplied by 2 multiplied by 7 multiplied by 5 over 3
f A LaTex expression showing 2 multiplied by 2 multiplied by 3 over 2 multiplied by 2 multiplied by 7 multiplied by 2 over 3 multiplied by 3
4
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 6 over 36 multiplied by 14 over 1
a A LaTex expression showing 2 multiplied by 2 multiplied by 3 multiplied by 3 over 11 multiplied by 13 multiplied by 7 multiplied by 3 multiplied by 13 multiplied by 13 over 1
b A LaTex expression showing 2 multiplied by 3 over 2 multiplied by 3 multiplied by 3 multiplied by 11 multiplied by 2 over 1
c A LaTex expression showing 2 multiplied by 5 over 2 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 2 multiplied by 7 over 1
d A LaTex expression showing 2 multiplied by 2 multiplied by 3 over 2 multiplied by 3 multiplied by 3 multiplied by 13 over 1
e A LaTex expression showing 2 multiplied by 3 over 11 multiplied by 3 multiplied by 3 multiplied by 2 multiplied by 2 multiplied by 7 over 1
f A LaTex expression showing 2 multiplied by 3 over 2 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 2 multiplied by 7 over 1
5
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 5 over 7 multiplied by 42 over 50
a A LaTex expression showing 5 over 7 multiplied by 2 multiplied by 3 multiplied by 7 over 2 multiplied by 5 multiplied by 5
b A LaTex expression showing 5 over 11 multiplied by 2 multiplied by 7 over 2 multiplied by 5 multiplied by 5
c A LaTex expression showing 5 over 7 multiplied by 11 multiplied by 7 over 2 multiplied by 2 multiplied by 5 multiplied by 5
d A LaTex expression showing 7 over 7 multiplied by 2 multiplied by 3 multiplied by 7 over 2 multiplied by 5 multiplied by 5
e A LaTex expression showing 5 over 7 multiplied by 2 multiplied by 3 multiplied by 2 over 2 multiplied by 5 multiplied by 5
6
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 7 over 98 multiplied by 20 over 2
a A LaTex expression showing 7 over 7 multiplied by 7 multiplied by 7 multiplied by 2 multiplied by 2 multiplied by 5 over 2
b A LaTex expression showing 7 over 2 multiplied by 7 multiplied by 7 multiplied by 2 multiplied by 2 multiplied by 5 over 2
c A LaTex expression showing 7 over 2 multiplied by 7 multiplied by 7 multiplied by 2 multiplied by 5 over 2
d A LaTex expression showing 13 over 2 multiplied by 2 multiplied by 7 multiplied by 2 multiplied by 2 multiplied by 2 multiplied by 5 over 2
e A LaTex expression showing 7 over 2 multiplied by 7 multiplied by 5 multiplied by 2 multiplied by 11 multiplied by 5 over 2
f A LaTex expression showing 7 multiplied by 7 over 2 multiplied by 7 multiplied by 7 multiplied by 2 multiplied by 2 multiplied by 2 multiplied by 2 multiplied by 5 over 2
7
Use factorization to simplify by showing what factors in this fraction multiplication can be cancelled out
A LaTex expression showing 12 over 2 multiplied by 3 over 27
a A LaTex expression showing 2 multiplied by 2 multiplied by 7 multiplied by 3 over 7 multiplied by 13 over 7 multiplied by 2 multiplied by 3
b A LaTex expression showing 2 multiplied by 7 multiplied by 7 over 3 multiplied by 3 over 3 multiplied by 3 multiplied by 3
c A LaTex expression showing 2 multiplied by 3 over 2 multiplied by 2 multiplied by 3 over 3 multiplied by 3
d A LaTex expression showing 2 multiplied by 2 multiplied by 13 over 2 multiplied by 3 over 3 multiplied by 3 multiplied by 3
e A LaTex expression showing 3 multiplied by 2 multiplied by 3 over 2 multiplied by 3 multiplied by 3 over 3 multiplied by 3 multiplied by 3 multiplied by 3
f A LaTex expression showing 2 multiplied by 2 multiplied by 3 over 2 multiplied by 3 over 3 multiplied by 3 multiplied by 3