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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:

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