Question

What is 9.24 divided by 1.1?

Answer 1

`8.4`

Explanation:

I am assuming that the decimal point is giving you a bit of doubt.

Let me show you something really cool:

I am choosing this approach to demonstrate something else at the same time.

Write `color(white)(.)9.24 -: 1.1color(white)(..)` as `9.24/1.1`

Now I am going to use the law of ratios

`9.24/1.1=(9.24 xx 100)/(1.1 xx 100)`

`924/110` This division will give the same answer!
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Investigating how many times 110 will divide into 990")`

`9xx 110=990` Which is more than 924 so do not wish to use that
`color(red)(8)xx 110=color(purple)(880)` Which is less than 924 so we can use that value.
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`924/110 = color(red)(8) + "Remainder"`

`8+ (924-color(purple)(880))/110`

`8+ 44/110`

But `44/110 =2/5`

So in fraction form the answer is `8 2/5`

But `2/5 =4/10 = 0.4`

So in decimal form the answer is `8.4`