Saturday, June 23, 2012

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In mathematics Fractions are defined as the values that are in form of division means fractions have two parts that are known as the numerator and denominator. In mathematics there is also one other type of number that is known as the decimal number and these numbers having the decimal in between the values of the number as example 2. 123 or 45.89 or 546.342 are all come into the category of the decimal number. When we talk about the relation between the decimal and the fraction number it is define as every number that is a decimal number or whole number or any integer number can be expressed into the form of fraction that is presented into the numerator and denominator. As example if there is number 5 that is also written as 5 / 1 that is in the form of fraction and also if there is number like 34.9 can also be represented into the fraction form by follow some of the steps:

Step no (1) : first of all write the given number into the fraction form as put the 1 as the denominator

like if there is a number 45.67 than write it as 45.67 / 1 .

Step no (2): so in the next step multiply the given number by the 10 or 100 so on depends on the number after the decimal as in the given example there is 2 digits, so multiply the numerator and denominator of the given number with 100 as 45.67 / 1 * 100 / 100 so the answer that is obtained is 4567 / 100 that is also in the form of fraction.

Step no (3) : if the obtained result will reduce into lower fraction then reduce it.

There is one more method to solve the decimal number into the fraction as we know in the decimal number there is basically two part one is whole number and other is decimal part that is define as

if there os a decimal number is 12.87 then 12 is the whole number and .87 is the decimal part so the

Decimal number 12.87 is written as

12.87 = (1 * 10) + ( 2 * 1) + (8 / 10) + (7 / 100).

so for change the decimal into the fraction we have to take all the denominator part of the elaborated expression and get the LCM of it. In the above example 100 is the LCM of 10 and 100 so the calculated answer is 1287 / 100 of the decimal number 12.87.

we can take one more example to understand that how to convert decimals to fractions is as:

Step no (1) : first of all write the given number into the fraction form as put the 1 as the denominator

like if there is a number 12.01 than write it as 12.01 / 1 .

Step no (2): so in the next step multiply the given number by 100 so on depends on the number after the decimal as in the given example there is 2 digits ,so multiply the numerator and denominator of the given number with 100 as 12.01 / 1 * 100 / 100 so the answer that is obtained is 1201 / 100 that is also in the form of fraction.

Step no (3) : if they obtained result will reduce into lower fraction then reduce it.

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