A decimal number with a digit (or group of digits) that repeats forever.

In a decimal, a digit or a sequence of digits in the decimal part keeps repeating itself infinitely. Such decimals are called non-terminating repeating decimals or recurring decimals. Alternatively, we can write it by placing a dot above the repeating digit 7 in the quotient. Therefore, 17/45 is a repeating decimal.

Non-Terminating, Non-Repeating Decimal. A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly. Decimals of this type cannot be represented as fractions, and as a result are irrational numbers.

Answer. If the denominator is in the form of 2^n5^m then it is terminating otherwise non terminating. So in 2/11 the denominator 11 do not have any factor as 2 or 5 so its non terminating.

Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . If you end up with a remainder of 0 , then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal.

A terminating decimal will result. We do the division and 3/20 and get 0.15 which terminates.

For example, 0.5 and 36.8924 are terminating decimals. To determine whether a given fraction, such as 4/5, can be written as a terminating or repeating decimal, divide the denominator into the numerator of the fraction. Since 5 divided into 4 is 0.8, 4/5 can be written as a terminating decimal.

5.692 is a terminating decimal because the decimal stopped at the digit of 2.

(You may want to check the form your instructor likes). 37 expressed as a decimal fraction is a repeating decimal with a fairly long (7 digit) pattern before repeating (you can verify this by long division.

As is evident from the image above, 7/9 is a non-terminating decimal equal to 0….

Answer. 6/15 will have terminating decimal expansion only if its denominator can be written in the form 2^n × 5^m. Here, 15 = 3 × 5, that means 6/15 will not have a terminating decimal expansion.

Since the denominator is not of the form 2m×5n, 2 m × 5 n , and it also has 3 as its factors, the decimal expansion of 77210 is non-terminating repeating.

The decimal is terminating. 0.375 → 375. This requires moving decimal point to 3 places to the right to make it a whole number.

and is therefore rational. Any number which when written as a decimal form which terminates (that is ends with only 0 -value digits following the last digit) or any decimal form number that ends with a sequence which repeats indefinitely is rational.

Answer: 0.375 expressed as a fraction in simplest form is equal to 3 / 8. Let’s look into the solution in detail. Explanation: 0.375 has three numbers after the decimal so, we will multiply and divide 0.375 by 1000. Thus, (0.375 × 1000) / 1000 = 375 / 1000.

37.5%

0.333

62.5%

66%

66.6667%

As you can see the fraction 3/2 can be written as 1 ½. These numbers are both the same value, but sometimes the answer will be need to be written as a mixed number to be considered fully reduced or simplified. To convert an improper fraction to a mixed number, follow these steps: Divide the numerator by the denominator.

8.5

0.5

0.23

0.571