Question

What is 10.5 divided by 1.5?

Answer 1

First you write both numbers as proper fractions

Explanation:

`10.5=10 1/2=20/2+1/2=21/2`
`1,5=1 1/2=2/2+1/2=3/2`

So it becomes: `21/2div3/2`

Since division by a fraction is equivalent to multiplying with its inverse, we get:
`21/2xx2/3=21/cancel2xxcancel2/3=21/3=7`

Note:
There's a quicker way (if you see it). You may double both numbers (to get rid of the halves), and the answer will be the same:

`=10.5/1.5xx2/2=(10.5xx2)/(1.5xx2)=21/3=7`