Question

What is `6 9/10-1/6`?

Answer 1

`404/60`

Explanation:

So we just extend the fractions, apply the following:

`6 9/10-1/6`
`69/10-1/6`

Now multiply to get the same denominator.

`69/10-1/6=414/60-10/60=404/60`

Answer 2

`6 11 / 15`

Explanation:

To simplify the calculation you first turn the left hand fraction into an improper fraction:

`6 9/10 = 69 / 10`

Then for the subtraction give both fractions the same denominator of 60 (i.e. multiply left hand fraction numerator and denominator by 6 and right hand fraction numerator and denominator by 10).

`69/ 10 - 1/6 = 414 / 60 - 10 / 60 = 404 / 60`

This can be further simplified to a proper fraction:

`404 / 60 = 202 / 30 = 6 22/30 = 6 11 / 15`