Getting To The Point – Calculators

Mastering Math Operations;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. Various basic math operations are utilized in order to be able to solve most fractions.

The four operations are addition, subtraction, multiplication, and division. For one to be proficient in fractions, they must first understand the four areas mentioned above. However, for one to be able to master fractions; a lot of practice is required. In this article, I will present various examples to demonstrate how the four math operations come into play with solving 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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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. 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. In order to get 12/24 and 6/24 respectively the two fractions are multiplied by whole numbers 3 and 2. 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.

Multiplying fractions (simple problem)

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

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. upon flipping the second fraction, it is then multiplied.

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. One goes further to reduce the results obtained by determining a common factor. 24 and 63 are both divisible by 3 (greatest common factor).

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. 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.