Factorin

Simplifying Fractions with Factors - Composite to Factored (Level 1)

These math problems focus on simplifying fractions by factoring both the numerator and the denominator to identify common factors that can be cancelled out. This topic involves skills in multiplication, division, identification of factors, and manipulation of fractions. The exercises challenge the students to factorize composite numbers into their prime or simplest components and then simplify the fractions by cancelling out common terms. The problems are structured to provide multiple choices, requiring a clear understanding of elementary factors and fraction simplification.

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

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Simplifying Fractions with Factors - Composite to Factored

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


Use factorization to show what factors in this fraction can be cancelled out

10×213×50\frac{10 \times 21}{3 \times 50}

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Factoring - Simplifying Fractions with Factors - Composite to Factored Worksheet

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Math worksheet on 'Factoring - Simplifying Fractions 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 show what factors in this fraction can be cancelled out
A LaTex expression showing 10 multiplied by 10 over 4 multiplied by 35
a A LaTex expression showing 2 multiplied by 2 multiplied by 5 over 2 multiplied by 3 multiplied by 5 multiplied by 7
b A LaTex expression showing 3 multiplied by 5 multiplied by 2 multiplied by 5 over 5 multiplied by 2 multiplied by 5 multiplied by 7
c A LaTex expression showing 2 multiplied by 11 multiplied by 2 multiplied by 5 over 2 multiplied by 5 multiplied by 7
d A LaTex expression showing 2 multiplied by 5 multiplied by 2 multiplied by 5 over 2 multiplied by 2 multiplied by 2 multiplied by 5 multiplied by 7
e A LaTex expression showing 2 multiplied by 5 multiplied by 2 multiplied by 5 multiplied by 5 over 2 multiplied by 2 multiplied by 5 multiplied by 7
f A LaTex expression showing 2 multiplied by 5 multiplied by 2 multiplied by 5 over 2 multiplied by 2 multiplied by 5 multiplied by 7
2
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 5 multiplied by 20 over 4 multiplied by 35
a A LaTex expression showing 2 multiplied by 5 over 2 multiplied by 2 multiplied by 5 multiplied by 5 multiplied by 7
b A LaTex expression showing 5 multiplied by 2 multiplied by 2 multiplied by 5 over 2 multiplied by 2 multiplied by 5 multiplied by 7
c A LaTex expression showing 5 multiplied by 2 multiplied by 2 multiplied by 2 multiplied by 5 over 2 multiplied by 2 multiplied by 5 multiplied by 7
d A LaTex expression showing 5 multiplied by 2 multiplied by 7 multiplied by 5 over 2 multiplied by 2 multiplied by 5 multiplied by 7
e A LaTex expression showing 5 multiplied by 2 multiplied by 2 multiplied by 2 multiplied by 5 over 2 multiplied by 2 multiplied by 2 multiplied by 5 multiplied by 7
f A LaTex expression showing 5 multiplied by 2 multiplied by 5 multiplied by 5 over 2 multiplied by 5 multiplied by 7
3
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 10 multiplied by 9 over 18 multiplied by 3
a A LaTex expression showing 2 multiplied by 5 multiplied by 3 multiplied by 3 over 3 multiplied by 3 multiplied by 3
b A LaTex expression showing 2 multiplied by 5 multiplied by 3 multiplied by 3 over 2 multiplied by 3
c A LaTex expression showing 2 multiplied by 5 multiplied by 3 multiplied by 3 over 13 multiplied by 3 multiplied by 3 multiplied by 3
d A LaTex expression showing 2 multiplied by 5 multiplied by 3 multiplied by 3 over 2 multiplied by 3 multiplied by 3 multiplied by 3
e A LaTex expression showing 2 multiplied by 5 multiplied by 3 multiplied by 13 over 2 multiplied by 3 multiplied by 3 multiplied by 2
4
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 60 over 6 multiplied by 4
a A LaTex expression showing 2 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 5 over 2 multiplied by 3 multiplied by 2 multiplied by 2
b A LaTex expression showing 2 multiplied by 2 multiplied by 3 multiplied by 5 over 2 multiplied by 3 multiplied by 2 multiplied by 2
c A LaTex expression showing 2 multiplied by 2 multiplied by 3 multiplied by 5 multiplied by 5 over 2 multiplied by 5 multiplied by 2
d A LaTex expression showing 2 multiplied by 2 multiplied by 3 multiplied by 5 over 2 multiplied by 3 multiplied by 2
e A LaTex expression showing 2 multiplied by 3 multiplied by 5 over 3 multiplied by 3 multiplied by 3 multiplied by 2 multiplied by 2
5
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 50 multiplied by 3 over 5 multiplied by 42
a A LaTex expression showing 2 multiplied by 5 multiplied by 5 multiplied by 5 multiplied by 3 multiplied by 3 over 5 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 7
b A LaTex expression showing 5 multiplied by 5 multiplied by 3 over 2 multiplied by 7
c A LaTex expression showing 2 multiplied by 13 multiplied by 5 multiplied by 3 over 2 multiplied by 3 multiplied by 7
d A LaTex expression showing 2 multiplied by 5 multiplied by 5 multiplied by 3 over 5 multiplied by 2 multiplied by 3 multiplied by 7
e A LaTex expression showing 2 multiplied by 5 multiplied by 5 multiplied by 3 multiplied by 3 over 2 multiplied by 3 multiplied by 7
6
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 12 multiplied by 5 over 20 multiplied by 2
a A LaTex expression showing 2 multiplied by 2 multiplied by 2 multiplied by 3 over 2 multiplied by 5 multiplied by 13
b A LaTex expression showing 2 multiplied by 2 multiplied by 3 over 5 multiplied by 5 multiplied by 2
c A LaTex expression showing 2 multiplied by 2 over 2 multiplied by 2 multiplied by 5 multiplied by 2
d A LaTex expression showing 2 multiplied by 3 multiplied by 5 over 3 multiplied by 2 multiplied by 5
e A LaTex expression showing 7 multiplied by 2 multiplied by 13 multiplied by 13 over 2 multiplied by 11 multiplied by 2
f A LaTex expression showing 2 multiplied by 2 multiplied by 3 multiplied by 5 over 2 multiplied by 2 multiplied by 5 multiplied by 2
7
Use factorization to show what factors in this fraction can be cancelled out
A LaTex expression showing 40 over 2 multiplied by 28
a A LaTex expression showing 2 multiplied by 2 multiplied by 11 over 2 multiplied by 3 multiplied by 2 multiplied by 7
b A LaTex expression showing 2 multiplied by 2 multiplied by 2 multiplied by 5 over 2 multiplied by 2 multiplied by 2 multiplied by 7
c A LaTex expression showing 2 multiplied by 2 multiplied by 2 multiplied by 11 over 2 multiplied by 7
d A LaTex expression showing 2 multiplied by 2 multiplied by 2 multiplied by 5 over 2 multiplied by 2 multiplied by 2 multiplied by 2 multiplied by 7
e A LaTex expression showing 2 multiplied by 2 multiplied by 2 multiplied by 5 over 2 multiplied by 2 multiplied by 2 multiplied by 7 multiplied by 7