Question

What's the difference of 3/4 and 1/28

Answer 1

Find the LCD 4 and 28 :

Factor each denominator into its primes :

4 = 2²
28 = 2² * 7

Find the least common denominator 2² * 7 = 28

LCD = 28


`(3)/(4) - (1)/(28)`

Adjust fractions based on the LCD :


`(3*7)/(28) - (1)/(28)`


`(3*7-1)/(28)`


`= (20)/(28)`

Cancel common factor 4 :


`(20/4)/(28/4)`


`= (5)/(7)`

hope this helps!