Numbers that can be expressed as fractions are called rational. A number that cannot be written as a fraction is called irrational. Common examples of this are the square root of 2, e, pi, etc*.
Real numbers (which include irrational and rational numbers) can be described by decimal expansions (possibly infinite ones). If a number has a decimal representation that repeats it must also be able to be represented as a fraction.
* (the last two of these are also transcendental, which essentially means they cannot be described as a solution to certain equations).
The latter which would be an irrational number that cannot be expressed as a fraction.
Any rational number is either a repeating decimal, or a terminating decimal.
Rational numbers can be written as a fraction with a non-zero denominator,as a terminating,a decimal,or a repeating decimal.
215 is a terminating decimal, as it does not repeat infinitely. It can be written as 215.000000... or 215.
Because a terminating decimal is a rational number that can also be expressed as a fraction
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.
The latter which would be an irrational number that cannot be expressed as a fraction.
Any rational number is either a repeating decimal, or a terminating decimal.
It is terminating - after two decimal digits.
It is terminating - after three decimal digits.
Rational numbers can be written as a fraction with a non-zero denominator,as a terminating,a decimal,or a repeating decimal.
If the denominator of the fraction, when written in its simplest form, has any prime factor other than 2 or 5 then it will be a repeating decimal fraction otherwise it will terminate.
If the denominator of the fraction, when written in its simplest form, has any prime factor other than 2 or 5 then it will be a repeating decimal fraction otherwise it will terminate.
215 is a terminating decimal, as it does not repeat infinitely. It can be written as 215.000000... or 215.
Because a terminating decimal is a rational number that can also be expressed as a fraction
No.
Any number that can be written as a fraction (with a non-zero denominator) is a rational number; in decimal format it will either terminate (possibly with no digits after the decimal point, ie an integer) or end in a repeating sequence of digits. Any number which cannot be written as a fraction (one integer over another) is an irrational number. If I understand your question correctly: A number written as a fraction with a denominator which does not equal zero can be any of a terminating decimal, a recurring decimal or an integer - they are all possible.