Answer:
[tex]=7\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{5}\cdot \:6\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{1}{5}=\frac{6}{5}\\1\frac{1}{5}\cdot \:6\\1\frac{1}{5}=\frac{1\cdot 5+1}{5}=\frac{6}{5}\\\frac{6}{5}\cdot \:6\\\mathrm{Convert\:element\:to\:fraction}:\quad \:6=\frac{6}{1}\\=\frac{6}{5}\cdot \frac{6}{1}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{6\cdot \:6}{5\cdot \:1}\\\mathrm{Multiply\:the\:numbers:}\:6\cdot \:6=36\\=\frac{36}{5\cdot \:1}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:1=5\\=\frac{36}{5}\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{36}{5}=7\frac{1}{5}\\=7\frac{1}{5}[/tex]
