Rules for Addition / Subtraction of Fraction 

Step.1) Convert the mixed fraction into an improper fraction

Step.2) Convert all the fractions into like fraction

Step.3) Add the numerators of the like fractions obtained in step 2.

Step.4) Write a fraction with the numbers obtained in step 3 as the numerator and the common denominator in step 2 as the denominator.

Step.5) Reduce the fraction obtained in step 4 to its simplest form. If it is an improper fraction then we should express it as a mixed fraction.

                        Numerator of the first X (LCM of denominator ÷                            denominator of the first) + Numerator of the                             second X (LCM of denominator ÷ denominator of                                     the second)

Sum of two fraction = ---------------------------------------

                                      LCM of Denominator


Multiplication of fraction -

Step.1) Convert the mixed fraction (if any) into improper fraction

Step.2) Multiply the numerators of all the fractions to form the numerator of the product

Step.3) Multiply the denominators of all the fractions to form the denominator of the product

Step.4) Reduce the product to its simplest form by canceling the common factors from the numerator and denominator.

                             Product of numerators of all fractions

Product Of Fraction = -------------------------------------

                            Product of denominators of all fractions


Reciprocal of a number –

A number is called the reciprocal of another number if the product of the two numbers is 1. To find the reciprocal of a number, write the number as a proper or improper fraction and then interchange the numerator and denominator, retaining the negative sign, if any, in the numerator.


Division of Fraction –

Step.1) Convert the mixed fraction (if any) into improper fractions.

Step.2) Multiply the dividend and the reciprocal of the divisor

Step.3) Reduce the product to it’s simplest form.