Question

What is the quotient of 42/3 divided by 4 1/5

Answer 1

`\large\boxed{4(2)/(3)/4(1)/(5)=1(1)/(9)}`

Explanation:

First step:

Convert the mixed numbers to the improper fractions:

`4(2)/(3)=(4\cdot3+2)/(3)=(14)/(3)\\\\4(1)/(5)=(4\cdot5+1)/(5)=(21)/(5)`

Divide by a fraction is the same as multiply by the reciprocal of this fraction.

Therefore:

`4(2)/(3)/4(1)/(5)=(14)/(3)/(21)/(5)=(14\!\!\!\!\!\diagup^2)/(3)\cdot(5)/(21\!\!\!\!\!\diagup_3)=(2\cdot5)/(3\cdot3)=(10)/(9)=1(1)/(9)`