Question

What is 4 3/4 + 7/8 showing all work

Answer 1

`4 (3)/(4) + (7)/(8)`

Convert mixed numbers to improper fractions


`= (19)/(4) + (7)/(8)`

Find de LCD for 4 and 8 :

Factor each denominator into its primes:


`4 = 2^2`


`8 = 2^3`

Find the least common denominator
`2^3 = 8`

Adjust fractions based on the LCD :


`(19*2)/(8) + (7)/(8)`

Since the denominators are equal , combine the fractions:


`(2*19+7)/(8)`


`(38+7)/(8)`


`= (45)/(8)`

Therefore:

Convert improper fractions to mixed numbers


`= 5 (5)/(8)`

hope this helps!