Thursday 7 June 2012

how to compare fractions

In mathematics, fraction is defined as the number of parts chosen to the total number of parts. Fraction is in the form of P/Q. Where P and Q are the two whole numbers. P is known as numerator and Q is known as denominator of the fraction. It means that the upper part of the fraction is known as numerator and the lower part is known as denominator. Fraction is written as:
                                                       1/3
Where 1 is P i.e. numerator or upper part and 3 is Q i.e. denominator or lower part of the fraction.
Comparison of fraction is an important topic in mathematics because sometimes it is required to compare the fraction. There are three ways to compare the fraction:
1. by decimal method.
2.  by same denominator method.
3. by different denominator method.
·         Decimal method is done by the use of calculator. Just convert the fraction into decimal then you can easily compare the smaller and bigger fraction. Just as (1 ÷4) = 0.25 and (2 ÷5) = 0.4. Therefore 0.4 is the bigger one so, 2/5 is greater than ¼.
·         In same denominator method, you have to just compare the numerator part i.e. the upper part of the fraction and write the result.
·         In different denominator method we have to do the cross multiplication. In this method first we have to multiply the numerator of the first fraction to the denominator of the second fraction and then multiply the denominator of first fraction to the numerator of the second fraction. At last compare the cross multiplication values and write the result i.e. bigger one.
For example:
Compare the fraction 3/5 and 5/6?
Solution:
Step1: first we have to multiply the numerator of the first fraction to the denominator of the second fraction i.e. 3 x 6 = 18
Step2: then multiply the denominator of first fraction to the numerator of the second fraction i.e. 5 x 5 = 25
Step3: compare the cross product values i.e. 18 and 25, here 25 is greater than 18 so 5/6 is greater than 3/5.
At last how to compare fractions and T Distribution Table are also described in west Bengal board of primary education.

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