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Answer 1 · 2017-10-23T03:56:47

#=> 27/4#

#6 3/4#

#=> (6xx4+3)/4#

#=> (24+3)/4#

#=> 27/4#-------- is the improper fraction.

Answer 2 · 2017-10-23T04:37:25

#\frac {27}{4}#

#6\frac{3}{4}=\frac{(4*6)+3}{4}=frac\{27}{4}#

Answer 3 · 2017-10-23T05:42:27

#27/4#

Writing a fraction as an improper fraction means that no whole number is shown, the entire number is given as a fraction.

The numerator is bigger than or equal to the denominator.

In this case we are using quarters. #(1/4)#

Each whole number consists of four quarters: #1=4/4#

In #6 3/4# there are #6# whole numbers and another #3/4#

Write the #6# as quarters: #" "6 = 6/1 xx 4/4 = 24/4#

Add on the extra #3/4# to get #27/4#
In one step this is shown as:

#6 3/4 = (6xx4+3)/4 = (24+3)/4 = 27/4#

Multiply the denominator by the whole number, add on the numerator and write the answer over the denominator.

Answer 4 · 2017-10-23T18:48:22

One more approach below:

#6 3/4 = 6 + 3/4 = (6 xx 4/4) + 3/4 = 24/4 + 3/4 = (24 + 3)/4 = 27/4#