Understanding Fractions.

The process of learning fractions is considered to be complicated. The main difference between a fraction and other numbers is that it has a numerator and a denominator. 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. Most if not all of the fractions problems also require a student to combine various maths operations in order to solve them.

There are four main math operations and that is subtraction, addition, division and multiplication. If you are lacking proficiency in any of these areas, you will struggle with doing fractions. 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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When adding five-ninths and two-ninths, you simply add the numerators of 5 and 2, which become 7. The denominator being the same which is 9, 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. after identification of the denominator, determine the least number that can multiply both 12 and 8. This number is 24. 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. You will then add 12/24 and 6/24 to come up with 18/24.

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

Simply multiply the numerators and denominators for the answer.

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

The two fractions can be reduced to simplest form by cross canceling out each other’s numerator and denominator. After the fractions have been reduced, the numerator and denominator are multiplied.

Dividing fractions (simple problem)

Division involves flipping of the second fraction and also changing of the division sign to multiplication sign. 7/11 now becomes 11/7. upon flipping the second fraction, it is then multiplied.

Dividing fractions (reduced to simplest form)

Flip 7/8 into 8/7 and change the sign from division to multiplication. Then replace the division sign with the multiplication sign and carry out the operation. One goes further to reduce the results obtained by determining a common factor. Therefore the common factor is 3, divide the numbers using 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 common factor between the numerator of the first fraction and the denominator of the second fraction is 18. Cross canceling is now done for the numerator of the second fraction (15) and the denominator of the first fraction (45). The last part is to multiply the resulting fractions.