Respuesta :
Answer:
[tex]:\quad \frac{713}{40}=17\frac{33}{40}[/tex]
Step-by-step explanation:
[tex]-3\frac{7}{8}\times \:-4\frac{3}{5}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 3\frac{7}{8}=\frac{31}{8}\\-\frac{31}{8}\times \:-4\frac{3}{5}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4\frac{3}{5}=\frac{23}{5}\\-\frac{31}{8}\times \:-\frac{23}{5}\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=\frac{31}{8}\times \frac{23}{5}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\[/tex]
[tex]=\frac{31\times \:23}{8\times \:5}\\\\=\frac{713}{40}\\\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\\\quad \frac{713}{40}=17\frac{33}{40}[/tex]