[tex]\frac{4}{3}\frac{2}{5}=\frac{8}{15}\quad \left(\mathrm{Decimal:\quad }\:0.53333\dots \right)\\\\Steps\\\frac{4}{3}\cdot \frac{2}{5}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{4\cdot \:2}{3\cdot \:5}\\\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:2=8\\=\frac{8}{3\cdot \:5}\\\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:5=15\\=\frac{8}{15}\\Answer: \\=\frac{8}{15}[/tex]
