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Fraction Manipulation Algebra - All (Level 4)

This math topic deals with advanced algebraic concepts related to fraction manipulation. It involves solving equations where variables are part of fractions and requires actions such as reducing the fractions to their simplest form. Each question presents an algebraic fraction equation and provides multiple-choice answers, challenging the student to find and simplify the correct representation of the variables in fractional form. The problems are set in increasing complexity, encouraging mastery of manipulating algebraic expressions involving fractions. This topic is part of a broader unit on advanced basic algebra concepts.

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.

3a=4b4?3a = \frac{4b}{4?}

Fraction Manipulation Algebra - All Worksheet

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Math worksheet on 'Fraction Manipulation Algebra - All (Level 4)'. 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 4a = 4c over 2?
a A LaTex expression showing a times c over 2
b A LaTex expression showing a over 2c
c A LaTex expression showing c over 2a
d A LaTex expression showing c over a
2
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 3a = 2b over 2?
a A LaTex expression showing b over a
b A LaTex expression showing b over 12a
c A LaTex expression showing 3a over 4b
d A LaTex expression showing b over 3a
e A LaTex expression showing 2b over 6a
3
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 4a = 4b over 4?
a A LaTex expression showing b over 4a
b A LaTex expression showing b over a
c A LaTex expression showing a times b over 4
4
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 2a = 2c over 3?
a A LaTex expression showing c over 3a
b A LaTex expression showing a over 3c
c A LaTex expression showing a times c over 3
5
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 3a = 2b over 3?
a A LaTex expression showing b over a
b A LaTex expression showing 3a over 6b
c A LaTex expression showing 2a over 9b
d A LaTex expression showing 2b over 9a
e A LaTex expression showing b over 18a
6
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 2a = 3c over 3?
a A LaTex expression showing 2a times c over 9
b A LaTex expression showing c over 2a
c A LaTex expression showing c over a
d A LaTex expression showing 6a times c over 3
7
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 2a = 4b over 4?
a A LaTex expression showing a times b over 8
b A LaTex expression showing b over 8a
c A LaTex expression showing b over 2a
d A LaTex expression showing b over a
e A LaTex expression showing 2a over 4b