Question

How do you simplify `5/9 div 2/7`?

Answer 1

`5/9÷2/7=35/18=1 17/18`

Explanation:

Dividing by a fraction is equivalent to multiplicative inverse. As multiplicative inverse of `a/b` is `b/a`, dividing by `2/7` is equivalent to multiplying by `7/2`.

Hence, `5/9÷2/7`

= `5/9×7/2=(5×7)/(9×2)`

= `35/18=(18+17)/18`

= `18/18+17/18`

= `1 17/18`