Wednesday, May 29, 2013

Fractionation Method

Introduction Fraction Method:

A fraction is a value that shows the number of equal parts taken of a whole quantity or unit. The denominator of a fraction is the number that shows how many equal parts are in the whole quantity. The numerator of a fraction is the number that shows how many equal parts of the, whose are taken.

The numerator and denominator are called the term of the fraction,

3 -(Numerator)
-------------------------
4-(Denominator)

A improper fraction is a fraction in which the numerator is larger than equal to the denominator, as in 3 / 2, 5 / 4, 11 / 8. A mixed number is a number composed of a whole number and a fraction, as examples 3 7/8, 7 1/2

A complex fraction is a fraction in which one or both of the terms are fraction or mixed number, as in example ¾ / 6.

I like to share this Converting Mixed Numbers to Improper Fractions with you all through my article.

Fraction methods - Addition and Subtraction:


Steps for fraction method - addition:

To add algebraic fraction, follow these steps:

Write the given fraction and common denominator.
Added the numerators value.
Solution for the problem
Example:

`= (1 / 2) + (5 / 2)`

`= (1 + 5) / 2`

`= 6 / 2`

= 3

Steps for fraction method - subtraction:

To subtraction algebraic fraction, follow these steps:

Write the given fraction and common denominator.
Subtracted the numerators value.
Solution for the problem
Example:

` = (7 / 3) - (4 / 3)`

` = (7 - 3) / 3`

= `4 / 3`

Understanding cbse class 10 syllabus is always challenging for me but thanks to all math help websites to help me out.

Fraction methods – Multiplication and Division:


Steps for fraction method - multiplication:

To multiply algebraic fraction, follow these steps:

Write the given fraction and cancel any common factors.
Multiply the numerators.
Multiply the denominators.

Example:

= `(3 / 7)xx (4 / 5)`

= `(3xx 4) / (7 xx5)`

= ` 12 / 35`

Steps for fraction method division:

To divide algebraic fraction, follow these steps:

Write the given fractions.
Change the division sign to a multiplication sign and invert the second fraction.
Write the given fraction and cancel any common factors.
Multiply the numerators.
Multiply the denominators.
Example:

= `( 1 / 6) / (3 / 4)` (divisor)

= `(1 /6)xx (4 / 3)`

=` (4 xx1) / (6xx 3)`

= `4 / 18`

= `2 / 9`

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