Mastering Math Operations;Fractions

Learning fractions can be rather complicated. All fractions have a top number (numerator) and a bottom number (denominator). There are some fractions problems that require one to follow some set steps in order to arrive at their solutions. Many fraction problems also require that more than one basic math operation be utilized.

The four operations are addition, subtraction, multiplication, and division. 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 (same denominator)

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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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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. The lowest number would be 24. After finding a common denominator, one goes further to convert each fraction to having it 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. 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.

Multiplications

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

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.

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. The results obtained which is 24/63 can further be reduced. The common factor of the resulting fraction is 3, divide both of them by it.

Division of fractions reduced to their simplest forms.

Flip 18/15 into 15/18 and change the sign from division to multiplication. The resulting fractions can further be reduced by cross cancelling. 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). Finally, the resulting fractions are multiplied to get the answer.