Question

What is `4 2/3 / 2 2/5`?

Answer 1

`(4 2/3)/(2 2/5)=35/18=1 17/18`

Explanation:

To find the quotient of `(4 2/3)/(2 2/5)` means dividing numerator `4 2/3`. For this we should first convert numerator and denominator into improper fractions.

Now `4 2/3` is equal to `((4xx3)+2)/3` or `14/3` and `2 2/5` is equal to `((2xx5)+2)/5` or `12/5`.

Dividing `14/3` by `12/5` means multiplying `14/3` by multiplicative inverse of `12/5`. Multiplicative inverse of `12/5` is `5/12` (simply inverting the number, numerator becomes denominator and denominator becomes numerator and product of a number with its multiplicative inverse is `1`).

Hence `(4 2/3)/(2 2/5)=(14/3)-:(12/5)=14/3xx5/12=(14xx5)/(3xx12)=(7cancel(14)xx5)/(3xx6cancel(12))=35/18=1 17/18`