Fraction operations involve basic mathematical processes such as addition, subtraction, multiplication, and division of fractions. To add or subtract fractions, they must have a common denominator. For example, to add 1/4 and 1/2, you would convert 1/2 to 2/4 and then add the numerators, resulting in 3/4. Multiplying fractions is straightforward: simply multiply the numerators together and the denominators together. For instance, 1/3 multiplied by 2/5 equals 2/15. Dividing fractions requires flipping the second fraction (the divisor) and then multiplying. Thus, dividing 1/2 by 1/4 becomes multiplying 1/2 by 4/1, resulting in 2.