Verified Answer :

here
7 7/8
= [ (87) + 7 ] / 8
= (56 + 7) / 8
=63 / 8

similarly,
3 1/4
=[ (43) + 1] / 4
= (12 + 1) / 4
= 13/4

----------------------------
now put the values
7 7/8 - 3 1/4
= 63/8 - 13/4
here, take LCM of 8 & 4 which is 8.
now,
[ (163) - (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:

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.