# Left Aligning Multi Column Equations

I'm trying to align multi-column equations to left. But I'm having difficulty with it. For example,

\begin{proposition} \textbf{Properties of Fractions}\\
\begin{align*}
&1.\frac{a}{b}\frac{c}{d} = \frac{ac}{bd} &2.\frac{a}{b}\div\frac{c}{d} = \frac{a}{b}\cdot\frac{d}{c}\\
&3.\frac{a}{c}+\frac{b}{c} = \frac{a+b}{c} &4.\frac{a}{b}+\frac{c}{d} = \frac{ad+bc}{bd}\\
&5.\frac{ac}{bc} = \frac{a}{b} &6. \frac{a}{b} = \frac{c}{d}\implies ad = bc
\end{align*}
\end{proposition}


But it is rendered like I'm using bunch of packages like amsmath, amsthm, etc. How can I align the second column left?

*I've already tried array environment, but it crashes and looks too small. If I should use array, how can I fix this?

• You can use &&2. instead of &2.and likewise for the other equations in the left column. align* alternates between left and right aligned columns which is what you see here. By using && instead of & you skip the right aligned column and the following column will be left aligned again. Commented Jul 25, 2020 at 10:21
• @leandriis Thanks! It worked Commented Jul 25, 2020 at 10:54

\begin{document}
\small {1.}\;& $\frac{a}{b}\;\frac{c}{d}$ &=& $\frac{ac}{bd}$&&\small{2.} & ${\frac{a}{b}\div{}\frac{c}{d}}$ = ${\frac{a}{b}}\cdot {\frac{d}{c}}$ \\
\small  {3.}& $\frac{a}{c}+\frac{b}{c}$ & =& $\frac{a+b}{c}$&  &\small{4.}& $\frac{a}{b}+\frac{c}{d}$ =\;$\frac{ad+bc}{bd}$\\
5.&$\frac{ac}{bc}& =&$\frac{a}{b}$& &6.&$\frac{a}{b} = \frac{c}{d}\implies ad = bc\$\\