The number 0.1 can be represented in binary as 0.00011001100110011... . The pattern of 0011 repeats infinitely. We can't store the binary equivalent of decimal 0.1 . As we know, 0.1 is equal to 1/10 .
Firstly, to write 0.2 as a fraction, we convert decimal to fraction. For that, we divide the number by 1 and multiply the top and bottom by 10. So, 0.2/1 × 10/10 = 2/10, which can be reduced further to 1/5. This means 0.2 as a fraction is equal to 1/5.
A fraction will be less than one means the numerator is lower than the denominator. For example, ⅓ is a fractional number. Here, the numerator is 1 and the denominator is 3 and we can see that 1<3; so, it will be a fraction less than one. This type of fraction is called a proper fraction.
0.1 is read as "one tenth" and 0.01 is read as "one hundredth". The bigger the denominator of the fraction, the smaller the value of the fraction. So, 0.1 is bigger than 0.01 because it is closer to the whole number 1 than 0.01 which is closer to 0.
For example, since the numeral 1 is doing all the repeating in the decimal 0.1111…, this tip tells us that the equivalent fraction must have a numerator of 1 and a denominator of 9. In other words, 0.1111… = 1/9.
Introduction: My name is Dean Jakubowski Ret, I am a enthusiastic, friendly, homely, handsome, zealous, brainy, elegant person who loves writing and wants to share my knowledge and understanding with you.
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