alrighty, the signs are both negative
we know that a negative divided by a negative results in a positive so we know the end result will be positive
forget the signs for now
first, convert to improper because it's easeir that wasy
remember [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=(\frac{a}{b})(\frac{d}{c})=\frac{ad}{bc}[/tex]
so
[tex]6 \space\ and \space\ \frac{7}{8}=6+\frac{7}{8}=\frac{48}{8}+\frac{7}{8}=\frac{55}{8}[/tex]
[tex]3 \space\ and \space\ \frac{3}{4}=3+\frac{3}{4}=\frac{12}{4}+\frac{3}{4}=\frac{15}{4}[/tex]
[tex]\frac{\frac{55}{8}}{\frac{15}{4}}=(\frac{55}{8})(\frac{4}{15})=\frac{(55)(4)}{(15)(8)}=[/tex] [tex]\frac{220}{120}=\frac{22}{12}=\frac{11}{6}=[/tex][tex]\frac{6}{6}+\frac{5}{6}=1+\frac{5}{6}=1 \space\ and \space\ \frac{5}{6}[/tex]
