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Fraction Manipulation Algebra - Orientation 3 (Level 3)

This math topic focuses on algebraic manipulation of fractions, specifically solving for unknown variables within fractional expressions. Students are required to isolate and identify a missing variable represented by a question mark (?) in various algebraic fraction equations. They must also simplify their answers when possible. The problems involve understanding and applying concepts of algebraic operations with fractions, which includes multiplication, division, and variable manipulation to solve equations. Each problem offers multiple choice answers, testing the student's ability to correctly manipulate and simplify the given equations.

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

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Fraction Manipulation Algebra - Orientation 3

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

Fraction Manipulation Algebra - Orientation 3 Worksheet

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