 FractionSteps - Maple Help

Student[Basics]

 FractionSteps
 show steps in the simplification of a specified expression Calling Sequence FractionSteps(ex, opts) Parameters

 ex - expression or string opts - options of the form keyword=value where keyword is one of displaystyle, output Description

 • The FractionSteps command is used to show the steps of adding fractions.
 • If expr is a string, then it is parsed into an expression using InertForm:-Parse so that no automatic simplifications are applied, and thus no steps are missed.
 • The displaystyle and output options can be used to change the output format.  See OutputStepsRecord for details.
 • This function is part of the Student:-Basics package. Examples

 > $\mathrm{with}\left(\mathrm{Student}:-\mathrm{Basics}\right):$
 > $\mathrm{FractionSteps}\left("1/2+1/3"\right)$
 $\begin{array}{lll}{}& {}& \text{Let's Simplify Fractions}\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Find fractions to get lowest common denominator of}\phantom{\rule[-0.0ex]{1.0thickmathspace}{0.0ex}}6\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Multiply}\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Add numerators}\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Multiply}\phantom{\rule[-0.0ex]{1.0thickmathspace}{0.0ex}}3\cdot 1\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Multiply}\phantom{\rule[-0.0ex]{1.0thickmathspace}{0.0ex}}2\cdot 1\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Add}\phantom{\rule[-0.0ex]{1.0thickmathspace}{0.0ex}}3+2\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Solution}\\ {}& {}& \left[{}\right]\end{array}$ (1)
 > $\mathrm{FractionSteps}\left("a/2+a/3+a/4"\right)$
 $\begin{array}{lll}{}& {}& \text{Let's Simplify Fractions}\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Find fractions to get lowest common denominator of}\phantom{\rule[-0.0ex]{1.0thickmathspace}{0.0ex}}12\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Multiply}\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Add numerators}\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Add}\phantom{\rule[-0.0ex]{1.0thickmathspace}{0.0ex}}6{}a+4{}a+3{}a\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Solution}\\ {}& {}& \left[{}\right]\end{array}$ (2)
 > $\mathrm{FractionSteps}\left("3/11+13/29",\mathrm{output}=\mathrm{typeset}\right)$
 $\begin{array}{lll}{}& {}& \text{Let's Simplify Fractions}\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Find fractions to get lowest common denominator of}\phantom{\rule[-0.0ex]{1.0thickmathspace}{0.0ex}}319\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Multiply}\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Add numerators}\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Multiply}\phantom{\rule[-0.0ex]{1.0thickmathspace}{0.0ex}}29\cdot 3\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Multiply}\phantom{\rule[-0.0ex]{1.0thickmathspace}{0.0ex}}11\cdot 13\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Add}\phantom{\rule[-0.0ex]{1.0thickmathspace}{0.0ex}}87+143\\ {}& {}& \left[{}\right]\\ \text{•}& {}& \text{Solution}\\ {}& {}& \left[{}\right]\end{array}$ (3) Compatibility

 • The Student[Basics][FractionSteps] command was introduced in Maple 2022.