[tex]0.3a = 0.5b \: | \times 10[/tex]
[tex]3a = 5b \: | \div 5b[/tex]
[tex] \frac{3a}{5b} = 1[/tex]
[tex] \frac{3}{5} \times \frac{a}{b} = 1 \: | \div \frac{3}{5} [/tex]
[tex] \frac{a}{b} = \frac{1}{ \frac{3}{5} } [/tex]
[tex] \frac{a}{b} = 1 \times \frac{5}{3} [/tex]
[tex] \frac{a}{b} = \frac{5}{3} [/tex]
[tex]3a = 5b \: | \div 3a[/tex]
[tex]1 = \frac{5b}{3a} [/tex]
[tex] \frac{5b}{3a} = 1[/tex]
[tex] \frac{5}{3} \times \frac{b}{a} = 1 \: | \div \frac{5}{3} [/tex]
[tex] \frac{b}{a} = \frac{1}{ \frac{5}{3} } [/tex]
[tex] \frac{b}{a} = 1 \times \frac{3}{5} [/tex]
[tex] \frac{b}{a} = \frac{3}{5} [/tex]
