Comparing Fractions and Decimals

Let us first study about fractions and decimals. Fraction numbers are the numbers which can be expressed in the form of numerator / denominator. Also if we look at the decimal number, it is the combination of the whole number and its decimal part. In order to learn about comparing fractions and decimals, we will either convert the decimal to fraction and fraction to decimals. Let us write the two numbers one in the decimal form and the other in the fraction. So we say that if the numbers are 1.25 and 4 / 10. Let us first convert  1.25 in the  fraction by removing the decimal. So we will write 1.25 as 125 / 100. Now we take the fraction 4/10, it can be written as (4 * 10) / ( 10 * 10) =40 / 100
  Now we observe that the two fractions are with the same denominator. So we conclude that the smaller numerator represent the smaller fraction. SO here 125 > 40, thus we say that  1.25 > 4/10.  In case we have the fractions like ¾ to be compared by  3.25, we will write ¾ as ( 3 * 25 ) / ( 4 * 25 )
= 75 / 100
On another hand we have 3.25 as  325 / 100
 Thus we observe that the two numbers are now with the equal denominator. So we say that the smaller numerator represent the smaller number. Thus here 75 / 100  < 325 / 100
 So we can say ¾  < 3.25

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