Fractions are a way of representing parts of a whole number. They consist of two parts: the numerator, which represents the number of parts, and the denominator, which represents the total number of parts in the whole. For example, the fraction 3/4 represents three parts out of four.
To add fractions, you need to have a common denominator. This means that the denominators of all the fractions you are adding must be the same. You can then add the numerators together and keep the common denominator. For example, to add 3/4 and 1/4, you would first find the least common denominator, which is 4. You would then rewrite the fractions with the common denominator:
3/4 + 1/4 = (3 + 1)/4 = 4/4 = 1
To subtract fractions, you also need a common denominator. You can subtract the numerators and keep the common denominator. For example, to subtract 1/4 from 3/4, you would first find the least common denominator, which is 4. You would then rewrite the fractions with the common denominator:
3/4 – 1/4 = (3 – 1)/4 = 2/4 = 1/2
To multiply fractions, you simply multiply the numerators together and the denominators together. For example, to multiply 3/4 and 1/5, you would calculate:
(3/4) * (1/5) = (3 * 1) / (4 * 5) = 3/20
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by switching the numerator and denominator. For example, to divide 3/4 by 1/5, you would calculate:
(3/4) / (1/5) = (3/4) * (5/1) = (3 * 5) / (4 * 1) = 15/4, fractions are represented as a numerator over a denominator, and the basic operations of fractions involve addition, subtraction, multiplication, and division. To perform these operations, you need to have a common denominator, and there are specific rules for each type of operation.
