20/20 Rational Expressions
The math tutor in your pocket.
$0.99
8.6for iPhone, iPad
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About 20/20 Rational Expressions
A power learning aid combines Guides, Practice and Coaching Calculators to help students master rational expression or rational fraction simplification and rational equation solving.
Rational expression Practice and Coaching Calculators take you step-by-step through the simplification of expressions such as :
(6x³ + 7x² - 1)/(2x² + 3x + 1)
(x² + 6x + 8)/(x + 2)
(x² - 5x + 6)/(14 + 3x - 5x²)
(3x - 9)/(6x - 12)
Detailed steps :
- Factoring out numeric or algebraic factors
- Factoring linear numerators/denominators
- Factoring quadratic numerators/denominators
- Factoring cubic numerators/denominators
- Dividing out or canceling common factors
Rational equation Practice takes you step-by-step through the solving of equations such as :
(5x + 3)/4 + (1 + 3x)/5 = 4/5
2/(3x²) + 5/x = 3/(4x)
1/(3x + 6) - 3/(5x² + 8x - 4) = -5/(15x - 6)
(2x - 1)/(3x + 2) - (1 - x)/(6x² + 7x - 2) = 7/20
Detailed steps :
- Factoring denominators
- Finding Least Common Denominator (LCD)
- Multiplying through by LCD or making each term have LCD
- Solving resulting linear or quadratic equation
The Guide also covers the addition and subtraction of rational expressions such as
3/(x + 1) + 2x/(x² - 6x - 7)
and the multiplication and division of rational expressions such as
(x² - 1)/(9x² - 1) * (6x + 2)/(3x² - 3x).
Rational expression Practice and Coaching Calculators take you step-by-step through the simplification of expressions such as :
(6x³ + 7x² - 1)/(2x² + 3x + 1)
(x² + 6x + 8)/(x + 2)
(x² - 5x + 6)/(14 + 3x - 5x²)
(3x - 9)/(6x - 12)
Detailed steps :
- Factoring out numeric or algebraic factors
- Factoring linear numerators/denominators
- Factoring quadratic numerators/denominators
- Factoring cubic numerators/denominators
- Dividing out or canceling common factors
Rational equation Practice takes you step-by-step through the solving of equations such as :
(5x + 3)/4 + (1 + 3x)/5 = 4/5
2/(3x²) + 5/x = 3/(4x)
1/(3x + 6) - 3/(5x² + 8x - 4) = -5/(15x - 6)
(2x - 1)/(3x + 2) - (1 - x)/(6x² + 7x - 2) = 7/20
Detailed steps :
- Factoring denominators
- Finding Least Common Denominator (LCD)
- Multiplying through by LCD or making each term have LCD
- Solving resulting linear or quadratic equation
The Guide also covers the addition and subtraction of rational expressions such as
3/(x + 1) + 2x/(x² - 6x - 7)
and the multiplication and division of rational expressions such as
(x² - 1)/(9x² - 1) * (6x + 2)/(3x² - 3x).
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What's New in the Latest Version 8.6
Last updated on Apr 9, 2024
Old Versions
This version contains minor bug fixes.
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Version History
8.6
Apr 9, 2024
This version contains minor bug fixes.
8.5
Mar 31, 2024
Rational expressions with cubic, quadratic, linear polynomials ... all clearly explained.
8.4
Dec 11, 2022
This version has minor bug fixes.
8.3
Sep 6, 2022
This version contains minor bug fixes and enhancements.
8.2
Nov 5, 2021
iOS 15 compatibility and user interface improvements. Minor bug fixes.
8.1
Sep 3, 2021
New cross multiplication practice. Minor bug fixes.
8.0
Aug 24, 2021
Minor bug fixes in rational equation module.
7.9
Aug 21, 2021
Major revision includes practice modules for rational equations.
7.8
Jan 23, 2020
Minor bug fixes and enhancements.
7.7
Jan 15, 2020
Minor bug fixes and app streamlining. Secondary modules are moving to free apps for you to GET if you wish.
7.6
Sep 25, 2019
iOS 13 and iPadOS compatibility.
7.5
Jan 19, 2019
Minor bug fixes.
7.4
Dec 18, 2018
Major release with new guides, practice modules and coaching calculators.
7.3
Sep 17, 2018
Practice module has graded worked examples for rapid learning. iOS 12 compatibility.
7.2
Sep 1, 2018
Cubic expression support with entry in ascending or descending order. Detailed explanations of each step.
7.1
Nov 17, 2017
iOS 11 and iPhone X compatibility and minor bug fixes.
7.0
Sep 18, 2016
iOS 10 compatibility and bug fixes.
6.1
Sep 26, 2015
iOS 9 compatibility and bug fixes.
6.0
Mar 12, 2015
Improved Guides for iPhone 6 and iPhone 6 Plus and minor bug fixes.
5.0
Sep 26, 2013
iOS 7 version.
4.2
Feb 26, 2013
iPhone 5 optimization and minor improvements.
4.1
Sep 26, 2012
iOS 6 and iPhone 5 compatibility.
4.0
Jul 3, 2012
New quadratic factoring modules and new compact design..
3.0
Oct 18, 2011
Major revision that features a powerful Coaching Calculator. Numerators and denominators can be quadratic, linear, constant or zero polynomials.
2.2
Jan 8, 2011
Minor bug fixes.
20/20 Rational Expressions FAQ
Click here to learn how to download 20/20 Rational Expressions in restricted country or region.
Check the following list to see the minimum requirements of 20/20 Rational Expressions.
iPhone
Requires iOS 16.0 or later.
iPad
Requires iPadOS 16.0 or later.
20/20 Rational Expressions supports English