Question

3 6/7 divided by 4 2/3 =

Answer 1

We need convert the mixed numbers to improper fractions.

`3(6)/(7)=(3\cdot7+6)/(7)=(21+6)/(7)=(27)/(7)\\\\4(2)/(3)=(4\cdot3+2)/(3)=(12+2)/(3)=(14)/(3)`

Divide the number by a fraction, this is the same as multiply this number by the reciprocal of the fraction:

`3(6)/(7)/4(2)/(3)=(27)/(7)/(14)/(3)=(27)/(7)\cdot(3)/(14)=(81)/(98)`

Answer:

`\boxed{3(6)/(7)/4(2)/(3)=(81)/(98)}`