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

----------------------------
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

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

Explanation:

Now consider the information

`(7)/(78)- 3 (1)/(4)`

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

`3(1)/(4)=(13)/(4)`

Now subtract them as shown:

`(7)/(78)- frac{13}{4}`

`(14-507)/(156)`

`(-493)/(156)`

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