Understanding Fractions.

Learning fractions can be rather complicated. All fractions have a top number (numerator) and a bottom number (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. Many fraction problems also require that more than one basic math operation be utilized.

Addition, Division, Subtraction and multiplication are the four basic math operations. For one to be proficient in fractions, they must first understand the four areas mentioned above. Mastering fractions require lots of practice. 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. The denominator of 9 remains the same.

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Adding fractions (different denominator and reduced to simplest form)

The two denominators must be converted into the same denominator before you are able to add. the denominators in the fractions presented above are 12 and 8. The other consideration is to determine the lowest number which could be multiplied evenly to the denominator. The lowest number would be 24. You then need to convert both 4/8 and 3/12 into fractions that will have 24 as the denominator. For 4/8, you will multiply both numbers by 3 to come up with 12/24;For 3/12, you will multiply both numbers by 2 to come up with 6/24. 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

To get the answers, the denominators and numerators are multiplied.

Multiplying fractions (reduced to simplest form – cross canceling)

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.

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

When fractions are being divided, you need to “flip” the second fraction and change the operation sign from division 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.

First change the second fraction by flipping it to 8/7 from 7/8. 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. 24 and 63 are both divisible by 3 (greatest common factor).

Division of fractions reduced to their simplest forms.

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. The second part of the fractions also have a common factor so as to cross cancel them. You are now multiplying 2/3 and 1/1.