First we must change these numbers to improper fractions:
[tex] 2\frac{4}{7}=\frac{18}{7} [/tex]
[tex] 1\frac{3}{6}=\frac{9}{6} [/tex]
So then we set it up:
[tex] \frac{18}{7} [/tex] ÷ [tex] \frac{9}{6} [/tex]
When we divide fractions like this, we must flip the second fraction and change the sign from division to multiplication like so:
[tex] \frac{18}{7}*\frac{6}{9} [/tex]
Then we solve:
[tex] \frac{108}{63} [/tex]
Then if we divide the numerator and the denominator by 9, we get:
[tex] \frac{12}{7} [/tex] or, in mixed-number form, [tex] 1\frac{5}{7} [/tex].
