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