All rational fractions.
12
Yes.
Terminating fractions create a digital equivalent of fixed length (e.g. 1/4 = exactly 0.25). Non-terminating (repeating) fractions create a repeating decimal after a certain number of places, and do not have an exact digital equivalent (e.g. 1/3 = 1.333_). (This occurs as a result of conversion to base-10 numbers.)
tae ni tintin
All terminating decimals can be written as fractions.
All rational fractions.
12
Yes.
Terminating fractions create a digital equivalent of fixed length (e.g. 1/4 = exactly 0.25). Non-terminating (repeating) fractions create a repeating decimal after a certain number of places, and do not have an exact digital equivalent (e.g. 1/3 = 1.333_). (This occurs as a result of conversion to base-10 numbers.)
If they are non-terminating and there is a repeating pattern, then they are rational. If they are non-terminating and there is no repeating pattern, as in pi, they are irrational.
That they can be converted into fractions
tae ni tintin
A fraction will have a terminating decimal if the prime factorisation of the denominator contains only the primes 2 or 5, or both.
0.5 is a terminating decimal and, since it is equal to a half, it is not an integer. A terminating decimal that is not an integer is a rational fraction. However, not all rational fractions are terminating decimals (eg 1/3 = 0.333...).0.1251.2512.5etc.
Any terminating/rational number can be written as a fraction.
fractions or decimals