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Fraction Manipulation Algebra - All (Level 3)

This math topic focuses on algebraic manipulation of fractions, specifically involving variables. It is designed to enhance skills in solving equations for an unknown variable represented by '?' and requires simplifying the resultant expressions. Each problem presents an equation with fractions and multiple choice answers, requiring the identification of the correct simplified form of the variable. This practice is part of a broader unit aimed at building foundational algebra skills, suitable for learners seeking to deepen their understanding of algebraic concepts through fraction manipulation.

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

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Fraction Manipulation Algebra - All

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


Solve the fraction for the '?' in terms of the variables and reduce.

a=2b2?a = \frac{2b}{2?}

Fraction Manipulation Algebra - All Worksheet

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Math worksheet on 'Fraction Manipulation Algebra - All (Level 3)'. Part of a broader unit on 'Algebra Manipulating Variables - Advanced' Learn online: app.mobius.academy/math/units/algebra_manipulating_variables_advanced/
1
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 3a = 2b over ?
a A LaTex expression showing 6a times b
b A LaTex expression showing 3b over 2a
c A LaTex expression showing b over a
d A LaTex expression showing 2b over 3a
e A LaTex expression showing 2a over 3b
2
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 3a = 4b over ?
a A LaTex expression showing 4b over 3a
b A LaTex expression showing 4a over 3b
c A LaTex expression showing 3a times b over 4
d A LaTex expression showing 3b over 4a
3
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 3a = b over 3?
a A LaTex expression showing b over 9a
b A LaTex expression showing a over 9b
c A LaTex expression showing 3a times b over 3
d A LaTex expression showing 3b over 3a
4
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 2a = 2c over ?
a A LaTex expression showing c over a
b A LaTex expression showing a over c
c A LaTex expression showing a times c
5
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 2a = b over 3?
a A LaTex expression showing 2a over 3b
b A LaTex expression showing 2a times b over 3
c A LaTex expression showing b over 6a
d A LaTex expression showing 2b over 3a
6
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing a = 3b over 4?
a A LaTex expression showing a times b over 12
b A LaTex expression showing b over 12a
c A LaTex expression showing 3b over 4a
d A LaTex expression showing 3a over 4b
7
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 2a = 3c over ?
a A LaTex expression showing 3a over 2c
b A LaTex expression showing 3c over 2a
c A LaTex expression showing 2a times c over 3
d A LaTex expression showing 2c over 3a