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How to solve Complex Fractions ?

Posted On : Oct-19-2011 | seen (249) times | Article Word Count : 441 |

This articles is mainly based on basic concepts of maths like fractions, proportions and radicals. Lets talk about fractions in mathematics. A number that can be
This articles is mainly based on basic concepts of maths like fractions, proportions and radicals. Lets talk about fractions in mathematics. A number that can be represented as the ratio of two numbers known as fractions. For example : 2/3, here 2 is numerator and 3 is denominator. The condition for fraction is that denominator can never be a zero or 0.

ow the question arises that how to Simplify Fractions? For simplifying fractions following are some rules to follow:

Adding and Subtracting of a fraction is done by using this property: x/y + a/b = xb + ay / yb.

For Multiplying a fraction this property comes in an account: a/b x c/d = ac/bd

and for dividing a fraction we use this property: a/b divide c/d = ad/bc.

A complex fraction is a rational expression that has a fraction in its numerator, denominator or both. Example to show the complex fraction: a/b / c/d. The sign / denotes the division of two numbers or variables. Simplifying complex fractions involves following steps: firstly student need to rewrite the numerator and denominator so that, they are each form a single fraction. Now divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator. In last step we need to simplify the rational expression.



A radical is an expression that has a square root, cube root etc. or we can say that expression that has a root. The symbol of the root is √ . Simplify radical expressions can also involve variables as well as numbers. Here we can break down a number into small pieces and same for variables as well.



When the radical is a square root then we should try to make the terms raised to an even power (2, 4, 6, 8, etc). Whereas, if the Radical is a cube root then we should try to make the terms raised to a power of three (3, 6, 9, 12, etc.).



Now we are going to learn about proportions and how to solve proportions . Before proceeding further we need to know about ratios. The relative size or values of two quantities can be expressed as the quotient of one divided by the other. For example the ratio of x to b is written as x:b or x/b. A proportion is a name given to a statement that shows that the two ratios are equal. Proportions can be written in two ways : a/b = c/d or we can say that a:b :: c:d.

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Category : Reference and Education : Reference and Education

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