Suppose A/B equals a decimal fraction F, which has d digits after the decimal place and then terminates.Then (A/B)*10D = F*10D is an integer.
That is A*10D/B is an integer.
A and B are coprime so they have no factor in common and therefore B must divide 10D.
0.875 is a terminating decimal and as a fraction it is 7/8
An irrational number is not a terminating decimal and it also can't be expressed as a fraction.
The decimal form of a fraction is either a terminating or recurring decimal.
Because it can be expressed as a fraction
To sum this answer up you half to turn the fraction into a decimal and if it ends that is terminating but if it keeps going it is called a repeating decimal EXAMPLES Terminating- 5/10=.5 Repeating- 1/3=.3333 (bar notation over the 3)
When the fraction is in its simplest or reduced form, if the denominator has any factor other than 1, 2 or 5, it will not be possible to express the fraction as a terminating decimal.
0.875 is a terminating decimal and as a fraction it is 7/8
Because a terminating decimal is a rational number that can also be expressed as a fraction
If a fraction, in its simplest form has a denominator whose only prime factors are 2 or 5, then the fraction is terminating. If the denominator has any other prime factor then the decimal is repeating.
To determine if a decimal is terminating or non-terminating without performing actual division, you can analyze the fraction's denominator in its simplest form. A decimal is terminating if the denominator, after simplification, has only the prime factors 2 and/or 5. If the denominator contains any other prime factors, the decimal will be non-terminating.
An irrational number is not a terminating decimal and it also can't be expressed as a fraction.
It is a terminating decimal and as a fraction it is 47/50 in its lowest terms.
If the decimal is terminating or repeating then it can be written as a fraction. Decimal representations which are non-terminating and non-repeating cannot be expressed as a fraction.
It is a terminating decimal and so it is a decimal representation of a fraction.
A negative fraction need not be a terminating decimal. For example, -2/3 = -0.66... (repeating).
Reduce the fraction to its simplest form - that is, remove any common factors between the numerator and denominator. If the denominator now is a factor of some power of 10, that is, if the denominator is of the form 2a*5b then the fraction will me a terminating decimal. If not, it will not.
It is a terminating decimal fraction.