Question

How do you find the quotient of 4.8 divided by 6.75?

Answer 1

`32/45->0.7111bar(color(white)(.)1color(white)(.))`

Explanation:

You `underline("do not state")` the quotient is to be derived `underline("without")` a calculator.
Write as: `4.8/6.75`

Multiply by 1 but in the form of `1=100/100`

`(4.8xx100)/(6.75xx100) -=480/675`

The numerator end in 0 and the denominator ends in 5. So 5 is a common factor.

`(480-:5)/(675-:5)-= (96)/135`

9+6=15 which is divisible by 3 and 1+3+5 =9 which is also divisible by 3 so 3 is a common factor.

`(96-:3)/(135-:3) = 32/45` This is the quotient but in fraction form
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
If you wish to convert this to decimal you divide 45 into 32

By calculator `->32-:45=0.7111bar(color(white)(.)1color(white)(.))`

The bar means that the 1's go on repeating for ever