When two fractions have the same denominator, then they are said to be like fractions. For example, 3/2 and 5/2 are like fractions, and we can perform addition and subtraction operations on them. Such as:
3/2 + 5/2 = (3+5)/2 = 8/2 = 4
When two fractions have different denominators, then they are said to be unlike fractions. For example, 3/2 and 4/3 are improper fractions and we need to rationalise the denominators to perform addition and subtraction.
3/2 + 4/3 = (3×3)/(2×3) + (4×2)/(3×2)
= (9/6)+(8/6)
= (9+8)/6 = 17/6