Operation of Fractions.

Most children consider learning fractions to be a very complicated exercise. All fractions have a top number (numerator) and a bottom number (denominator). There are problems involving fractions which require several steps to be taken before you get to the solution. 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. However, for one to be able to master fractions; a lot of practice is required. 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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It is only the numerators that are 2 and 5 that are added together. 9 is the denominator in this case and it remains the same.

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Fractions with different denominators, Addition; 4/8 + 3/12 = 12/24 + 6/24 = 18/24 = 3/4 .

The two denominators must be converted into the same denominator before you are able to add. 12 and 8 are the denominators. The other consideration is to determine the lowest number which could be multiplied evenly to the denominator. 24 is the lowest number that can be multiplied to the denominators. You then need to convert both 4/8 and 3/12 into fractions that will have 24 as the 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. The other step is to add them up so as to get 18/24. In order to get the answer 18/24, they two fractions are added together.

How to multiply fractions;7/8 x 3/4 = 21/32

It involves the numerator and denominator multiplication.

How to multiply fractions and reduce them to their simplest form.

To reduce a fraction, it is the numerator and the denominator that are cross cancelled. Upon reduction of the fractions, the bottom and top numbers are then multiplied to get the final answer.

How to divide simple fraction problems;5/9 / 7/11 = 5/9 x 11/7 = 55/63

To work out division, one flips the second fraction and also changes the division sign to multiplication. 7/11 now becomes 11/7. upon flipping the second fraction, it is then multiplied.

Dividing fractions when reducing them to the simplest form.

Begin by flipping the second fraction from 7/8 to 8/7. Multiply the fractions. 24/63 can be further reduced. The common factor of the resulting fraction is 3, divide both of them by it.

How to divide fractions that are reduced to their simplest form 36/45 / 18/15 = 36/45 x 15/18 = 2/3 x 1/1 = 2/3;

First, 18/15 is flipped into 15/18 and multiplication sign is used to replace the division sign. 15/18 and 36/45 are further reduced. The numerator of the first fraction (36) and the denominator of the second fraction (18) are both divisible by 18. “36” becomes 2 and “18” becomes 1. Cross canceling is now done for the numerator of the second fraction (15) and the denominator of the first fraction (45). You are now multiplying 2/3 and 1/1.