Vivekanand Vellanki
2
Decimal fraction is a fraction where the denominator is a power of 10 such as 10, 100, 1000, etc; and the numerator is an integer. Not all fractions can be written as decimal fraction. Clearly, any terminating decimal can be written as a decimal fraction. However, repeating decimals cannot be written as decimal fractions. For e.g. 1/3 = a repeating decimal that cannot be written as a decimal fraction. Proof for the above: Assume 1/3 can be written as a decimal fraction such that \frac{1}{3}=\frac{p}{10^k} where p and k are integers. Multiplying both sides by 10^k gives \frac{10^k}{3}=p. We know that the left hand side is a repeated decimal that does not terminate. However, the right hand side is an integer. This is a contradiction. Hence, 1/3 cannot be represented as a decimal fraction. In general, any repeated decimal cannot be represented as a decimal fraction. Definition of decmial fraction: https://www.mathsisfun.com/definitions/decimal-fraction.html
Sherlyn Casco Noperi
1
It is true because you just have to times the denominator with the other number.
Mahesh Godavarti
0
Sherlyn, can you add more details to your answer? Your answer is not very clear at the moment.
Y.Yashwanth Chowdary
0
Yes most of them Exept if the denominator is 0 or 1
Vivekanand Vellanki
0
Yashwanth, please take a look at my response to the question about writing fractions as a decimal fraction. https://www.qalaxia.com/#/viewDiscussion?messageId=59f33ad1a8af23ea0657aa44
Diego Vasquez
0
It depends on what is in your numerator or denominator. If you have an irrational number in your numerator or denominator, it may not convert to a decimal. Also if your fraction is a number/zero, it is undefined so it cannot be a decimal.
Mahesh Godavarti
0
Actually, you have to be careful. A fraction is defined as something that can be written as \frac{a}{b} where both a \text{ and } b are integers. \frac{\sqrt{2}}{2} , by definition, is not a fraction.