Operation of Fractions.

The process of learning fractions is considered to be complicated. Fractions have a denominator (Bottom number) and a numerator (Top Number). For starters, it is worth to note that there are some problems involving fractions that require one to follow steps in order to solve them. Various basic math operations are utilized in order to be able to solve most fractions.

Addition, Division, Subtraction and multiplication are the four basic math operations. In order for one not to struggle in maths, they must first gain proficiency in the four areas mentioned above. Mastery of fractions comes from practicing them regularly. The purpose of this article is to demonstrate how the four basic math operations could be used to solve fractions.

Adding Fractions with the same denominator,5/9 + 2/9 = 7/9
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When adding the fractions above, you only add the numerators. 9 is the denominator in this case and it remains the same.
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Addition of fractions with different denominators

Conversion of the denominators is the first step before addition. The denominators here are 8 and 12. after identification of the denominator, determine the least number that can multiply both 12 and 8. 24 is the lowest number that can be multiplied to the denominators. Each fraction is further converted so as to have 24 as its denominator. The numerator and denominator of the two fractions are multiplied by 2 and 3 respectively so as to get 12/24 and 6/24 respectively. You will then add 12/24 and 6/24 to come up with 18/24.


It involves the numerator and denominator multiplication.

Multiplication of fractions;15/ 25 x 5/30 = 1/5 x 1/2 = 1/10

To reduce the fractions, one cross cancels the denominators and numerator. Multiply the numerators and denominators.

Dividing fractions (simple problem)

Division involves flipping of the second fraction and also changing of the division sign to multiplication sign. The second fraction in the example above is 7/11 which is changed to 11/7. You will now multiply the fractions.

Dividing fractions when reducing them to the simplest form.

Flip 7/8 into 8/7 and change the sign from division to multiplication. The second step is to change the sign into multiplication and then carry it out. The results obtained which is 24/63 can further be reduced. Therefore the common factor is 3, divide the numbers using it.

Dividing fractions (reduced to simplest form – cross canceling)

Flip 18/15 into 15/18 and change the sign from division to multiplication. The resulting fractions can further be reduced by cross cancelling. Both 36(top number for the first fraction) and 18 (bottom part of the second fraction) have one common factor which is 18. The second part of the fractions also have a common factor so as to cross cancel them. The last part is to multiply the resulting fractions.