Friday, February 22, 2013

Basic Fraction Math

Introduction to basic fractions math:

In algebra, fractions are commonly used in mathematics, science and the world something like us. They have been used by human ruler while the time of the earliest Egyptians and are still used by public to solve problems in their daily lives.

In basic fractions math came into frequent use in the 16th century. Look at this basic fraction:

`5/10`

Observe that each of the digits from 1 to 9 has been used in this fraction in math. When this basic fraction math is simplified, we see that:

`5/10`=`1/2`


Types of basic fractions math:


It is very important and dissimilar types of fractions in algebra.

Proper fraction in math.

Improper fraction in math.

Mixed fraction in math.

Proper fraction in math:

Fraction, where the denominator is bigger than the numerator.

For example: `3/5`

Here numerator (3) is smaller than the denominator (5)

Improper fractions in math:

Fraction, where the denominator is less than the numerator

For example: `3/2`

Here numerator (3) is greater than the denominator (2)

Mixed fractions in math:

Fractions, where there is a number merge with a fraction.

For example:3`1/5`(means 3+`1/5`)

We change in mixed fraction to an improper fraction as follows:

3`1/5` =(3x5)+`1/5`=`(15+1)/(2)`=`13/2`

We change in an improper fraction to a mixed fraction as follows:

`5/3` means there are three halves (1 x`2/3` ).

This means the same as 1+ `2/3` = 1`2/3`

Basic algebraic fractions in math:

Fractions, which include algebraic terms in their numerators and denominators.

For example: `(2ab)/5` ;`3/y`


Example for basic fractions math:


It takes `1/3` hour to get ready a salad for breakfast, another `1/4` hour to make a main dish and `1/4` hour to make dessert. Can the entire snack be made in no more than 1 hour? Explain how you can decide.

Solution:

Step 1:

Think about what the problem asks you to find:

“No more than 1 hour” means 1 hour or less.

Is the addition of `1/3`+`1/4`+`1/4` less than or greater than 1?

Step 2:

Use estimation to solve the problem:

`1/3`+`1/4`>`1/4`

It follows that `1/3`+`1/4`+`1/4`>1.

Answer: so, the complete breakfast cannot be ready in 1 hour.

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