Solve APY=frac{frac{{p}_{p}-{p}_{m}}{n}}{left({p}_{p}-{p}_{m}right)*2}

$$APY = \frac{ \frac{ { p }_{ p } - { p }_{ m } }{ n } }{ \left( { p }_{ p } - { p }_{ m } \right) \times 2 }$$

Solve for A

$$A=\frac{1}{2PYn}$$

$$n\neq 0\text{ and }Y\neq 0\text{ and }P\neq 0\text{ and }p_{p}\neq p_{m}$$

Steps for Solving Linear Equation

Express \frac{\frac{p_{p}-p_{m}}{n}}{\left(p_{p}-p_{m}\right)\times 2} as a single fraction.

$$APY=\frac{p_{p}-p_{m}}{n\left(\left(p_{p}-p_{m}\right)\times 2\right)}$$

Factor the expressions that are not already factored in \frac{p_{p}-p_{m}}{n\left(\left(p_{p}-p_{m}\right)\times 2\right)}.

$$APY=\frac{-p_{m}+p_{p}}{2n\left(-p_{m}+p_{p}\right)}$$

Cancel out -p_{m}+p_{p} in both numerator and denominator.

$$APY=\frac{1}{2n}$$

Multiply both sides of the equation by 2n.

$$APY\times 2n=1$$

Reorder the terms.

$$2APYn=1$$

The equation is in standard form.

$$2PYnA=1$$

Divide both sides by 2PYn.

$$\frac{2PYnA}{2PYn}=\frac{1}{2PYn}$$

Dividing by 2PYn undoes the multiplication by 2PYn.

$$A=\frac{1}{2PYn}$$

Solve for P

$$P=\frac{1}{2AYn}$$

$$n\neq 0\text{ and }Y\neq 0\text{ and }A\neq 0\text{ and }p_{p}\neq p_{m}$$

Steps for Solving Linear Equation

Express \frac{\frac{p_{p}-p_{m}}{n}}{\left(p_{p}-p_{m}\right)\times 2} as a single fraction.

$$APY=\frac{p_{p}-p_{m}}{n\left(\left(p_{p}-p_{m}\right)\times 2\right)}$$

Factor the expressions that are not already factored in \frac{p_{p}-p_{m}}{n\left(\left(p_{p}-p_{m}\right)\times 2\right)}.

$$APY=\frac{-p_{m}+p_{p}}{2n\left(-p_{m}+p_{p}\right)}$$

Cancel out -p_{m}+p_{p} in both numerator and denominator.

$$APY=\frac{1}{2n}$$

Multiply both sides of the equation by 2n.

$$APY\times 2n=1$$

Reorder the terms.

$$2APYn=1$$

The equation is in standard form.

$$2AYnP=1$$

Divide both sides by 2AYn.

$$\frac{2AYnP}{2AYn}=\frac{1}{2AYn}$$

Dividing by 2AYn undoes the multiplication by 2AYn.

$$P=\frac{1}{2AYn}$$