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# Fraction cross multiplication Calculator

## Get detailed solutions to your math problems with our Fraction cross multiplication step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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###  Difficult Problems

1

Here, we show you a step-by-step solved example of fraction cross multiplication. This solution was automatically generated by our smart calculator:

$\frac{2}{x+1}=\frac{3}{x-1}$
2

Inverting the equation

$\frac{x+1}{2}=\frac{x-1}{3}$
3

Apply fraction cross-multiplication

$3\left(x+1\right)=2\left(x-1\right)$

Solve the product $3\left(x+1\right)$

$3x+3\cdot 1=2\left(x-1\right)$

Any expression multiplied by $1$ is equal to itself

$3x+3=2\left(x-1\right)$
4

Solve the product $3\left(x+1\right)$

$3x+3=2\left(x-1\right)$

Solve the product $2\left(x-1\right)$

$3x+3=2x+2\cdot -1$

Solve the product $3\left(x+1\right)$

$3x+3\cdot 1=2\left(x-1\right)$

Any expression multiplied by $1$ is equal to itself

$3x+3=2\left(x-1\right)$

Multiply $2$ times $-1$

$3x+3=2x-2$
5

Solve the product $2\left(x-1\right)$

$3x+3=2x-2$
6

Group the terms of the equation by moving the terms that have the variable $x$ to the left side, and those that do not have it to the right side

$3x-2x=-2-3$
7

Subtract the values $-2$ and $-3$

$3x-2x=-5$
8

Combining like terms $3x$ and $-2x$

$x=-5$

Verify that the solutions obtained are valid in the initial equation

9

The valid solutions to the equation are the ones that, when replaced in the original equation, don't make any denominator equal to $0$, since division by zero is not allowed

$x=-5$

##  Final answer to the problem

$x=-5$

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