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

1 Answer
Tony B
Apr 29, 2016

#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

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