Asked by: Arne Crooks
Updated: 6 November 2021 02:42:00 AM
How to tell if a fraction is terminating or repeating?
To find out whether a fraction will have a terminating or recurring decimal, look at the prime factors of the denominator when the fraction is in its most simple form. If they are made up of 2s and/or 5s, the decimal will terminate.
Adding to that, how do you determine if a decimal is terminating or repeating?
Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal.Furthermore, is 0.5 a terminating or repeating?
For example, 0.5 and 36.8924 are terminating decimals. To indicate that a decimal is repeating, a bar is drawn above the digit or group of digits that repeats. For example, 0.3333 can be written as 0.3 with a bar over the 3.Accordingly, the question is is 2.6 terminating or repeating?
For example, 2.6 is rational because it can be expressed as a fraction 135. This is an example of a terminating decimal. In particular, it is not a repeating decimal.Do you have your own answer or clarification?
Related questions and answers
What is 1 and 3/4 as a percentage?
Results: The mixed number 1 3/4 can be expressed as 175 percent.
Is 0.6 the same as 6%?
06 the same as 6%? Since the decimal equivalent of any percentage is the number over 100, 6 percent is 6/100, i.e., 0.06.Express 0.6 as a percent.
| Example | ||
|---|---|---|
| Problem | Write 0.6 as a percent and as a simplified fraction. | |
| Simplify the fraction by dividing the numerator and denominator by 2, a common factor. | ||
| Answer | 0.6 = 60% = |
Is 0.25 a repeating decimal?
0.25 is a repeating decimal number and you want to convert it to a fraction or mixed number. When you say 0.25 repeating, you could mean that 5 or 25 is repeating.
Is 7.8 terminating or repeating?
1 Expert Answer It does not repeat, it terminates.
Is 7 45 repeating or terminating?
The result of 7/45 is a non-terminating, repeating decimal. The repeating pattern above, 5, is called repetend, and denoted overlined with a vinculum.
Is 13/8 a terminating or repeating decimal?
13/8 in decimal notation has 3 decimal places. That is, 13/8 as decimal is a terminating decimal.
Is 0.25 terminating or repeating?
If we divide 1 by 4 we get 0.25 followed by as many 0's as we'd like. This is a terminating decimal number.
What is 3/4 as a mixed number?
Basic Math Examples Since 34 is a proper fraction, it cannot be written as a mixed number.
How do you write 1/3 as an improper fraction?
The mixed number 1 1/3 is equal to the improper fraction 4/3.
What is 5 99 as a decimal?
5/99 as a decimal is 0.050505050505051.
Is 2 over 5 a terminating decimal?
You add a decimal point and start adding 0s. You will get 1 followed by as many 0s as you require in the numerator. 10/100/1000/10000 etc have only two prime divisors: 2 and 5. If there are any other primes, we will never be able to divide a multiple of 10 completely and hence the decimal will not terminate.
Is 3/7 a repeating or terminating decimal?
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.
What is 7 45 as a percent?
Now we can see that our fraction is 15.555555555556/100, which means that 7/45 as a percentage is 15.5556%.
Is 7 200 a terminating decimal?
0.035 is a decimal and 3.5/100 or 3.5% is the percentage for 7/200.How to Write 7/200 as a Decimal?
| Fraction | Decimal | Percentage |
|---|---|---|
| 8/200 | 0.04 | 4% |
| 7/200 | 0.035 | 3.5% |
| 6/200 | 0.03 | 3% |
| 7/197 | 0.03553 | 3.553% |
What is 3/4 as a number?
The fraction (mathematics) three quarters (3⁄4) equal to 0.75.
Is 2/5 repeating or terminating?
If the prime factorization of the denominator of a fraction has only factors of 2 and factors of 5, the decimal expression terminates. If there is any prime factor in the denominator other than 2 or 5, then the decimal expression repeats.
What is 0.6 simplified?
0.6 is 6 tenths. 6/10 is the fraction form but you have to simplify so it becomes 3/5.
What is 7 45 as a decimal?
7/45 as a decimal is 0.15555555555556.
Is 2/5 terminating or repeating?
If the prime factorization of the denominator of a fraction has only factors of 2 and factors of 5, the decimal expression terminates. If there is any prime factor in the denominator other than 2 or 5, then the decimal expression repeats.
What is equivalent to 0.25 repeating?
The repeating decimal 0. 25 (vinculum notation) has a repeated block length of 2. It is also represented as 0.252525 (ellipsis notation) or as 0.2̇5̇ (dots notation) which equals approximately 0.2525252525 (decimal approximation)(*).
What is 3/4 as a terminating decimal?
We find that on long division 34=0.75 which is a terminating decimal.