( \frac { 1 } { p } : \frac { 1 } { q } ) = ? ( \text { mhel } )
Solve for h
h=\frac{q}{elmp}
l\neq 0\text{ and }p\neq 0\text{ and }m\neq 0\text{ and }q\neq 0
Solve for l
l=\frac{q}{ehmp}
h\neq 0\text{ and }p\neq 0\text{ and }m\neq 0\text{ and }q\neq 0
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\frac{q}{p}=mhel
Divide \frac{1}{p} by \frac{1}{q} by multiplying \frac{1}{p} by the reciprocal of \frac{1}{q}.
mhel=\frac{q}{p}
Swap sides so that all variable terms are on the left hand side.
mhelp=q
Multiply both sides of the equation by p.
elmph=q
The equation is in standard form.
\frac{elmph}{elmp}=\frac{q}{elmp}
Divide both sides by melp.
h=\frac{q}{elmp}
Dividing by melp undoes the multiplication by melp.
\frac{q}{p}=mhel
Divide \frac{1}{p} by \frac{1}{q} by multiplying \frac{1}{p} by the reciprocal of \frac{1}{q}.
mhel=\frac{q}{p}
Swap sides so that all variable terms are on the left hand side.
mhelp=q
Multiply both sides of the equation by p.
ehmpl=q
The equation is in standard form.
\frac{ehmpl}{ehmp}=\frac{q}{ehmp}
Divide both sides by mhep.
l=\frac{q}{ehmp}
Dividing by mhep undoes the multiplication by mhep.
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