How to get answer:
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}\\2\frac{3}{5}\cdot \frac{3}{4}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}\\2\frac{3}{5}=\frac{2\cdot 5+3}{5}=\frac{13}{5}\\\frac{13}{5}\cdot \frac{3}{4}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{13\cdot \:3}{5\cdot \:4}\\\mathrm{Multiply\:the\:numbers:}\:13\cdot \:3=39\\=\frac{39}{5\cdot \:4}\\[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:4=20\\=\frac{39}{20}\\Convert\:improper\:fractions\:to\:mixed\:numbers\\\mathrm{Long\:Division}\:\frac{39}{20}:\quad 1\quad \mathrm{Remainder}\quad \:19\\Convert\:to\:mixed\:number:\:Quotient\frac{Remainder}{Divisor}\\Answer: \frac{39}{20}=1\frac{19}{20}[/tex]
