Question

what is the difference 7/78 - 3 1/4=

Answer 1

     here
7 7/8
= [ (8*7) + 7 ] / 8
= (56 + 7) / 8
=63 / 8

similarly,
3 1/4
=[ (4*3) + 1] / 4
= (12 + 1) / 4
= 13/4

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now put the values
7 7/8 - 3 1/4
= 63/8 - 13/4
here, take LCM of 8 & 4 which is 8.
now,
[ (1*63) - (2 * 13) ] / 8
= (63 - 26) / 8
= 37/8
= 4 5/8........................[ here, divide 37 by 8 which gives reminder as 5 and divisible value as 4 ]

Answer 2

Answer:

The difference of 7/78 - 3 1/4 is -493/156.

Step-by-step explanation:

Now consider the information

$\frac{7}{78}- 3 \frac{1}{4}$

Here 3 1/4 is a mixed fraction which can be written as:

$3\frac{1}{4}=\frac{13}{4}$

Now subtract them as shown:

$\frac{7}{78}- frac{13}{4}$

$\frac{14-507}{156}$

$\frac{-493}{156}$

Hence, the difference of 7/78 - 3 1/4 is -493/156.