Question

What is 4 1/6 + 5 3/7

Answer 1

`4(1)/(6)  + 5(3)/(7)  = 9(24)/(42)`

Explanation:

Here, the given expression is
`4(1)/(6)  + 5(3)/(7)`

Now,a mixed fraction can be converted into unlike fraction as

`a(b)/(c)   = (ac + b)/(c) \\\implies  4(1)/(6)   = (4(6) + 1)/(6)  =  (25)/(6)\\ 5(3)/(7)   = (5(7) + 3)/(6)  =  (38)/(7)`

So, the given expression becomes:

`(25)/(6) +  (38)/(7)`

Now, take the LCM of the denominators 6 and 7 to make a common denominator, we get

`(25)/(6) +  (38)/(7) = (25(7)   + 38(6))/(42)   = (175 + 228)/(42)\\ =(403)/(42) \\= 9.6`

Hence, on solving the given expression, we get

`4(1)/(6)  + 5(3)/(7)  = 9(24)/(42)`