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Asked by: Arne Crooks
Updated: 6 November 2021 08:42:00 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.

Considering that fact, 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.

Continuing on this line, 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.

Moreover, 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.
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Related questions and answers

What is 3/4 as a number?

The fraction (mathematics) three quarters (3⁄4) equal to 0.75.

What is 5 99 as a decimal?

5/99 as a decimal is 0.050505050505051.

What is 3/4 as a terminating decimal?

We find that on long division 34=0.75 which is a terminating decimal.

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.

How do you write 1/3 as an improper fraction?

The mixed number 1 1/3 is equal to the improper fraction 4/3.

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.

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.

What is 1 and 3/4 as a percentage?

Results: The mixed number 1 3/4 can be expressed as 175 percent.

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.

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.

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)(*).

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?
FractionDecimalPercentage
8/2000.044%
7/2000.0353.5%
6/2000.033%
7/1970.035533.553%

Is 7.8 terminating or repeating?

1 Expert Answer It does not repeat, it terminates.

What is 7 45 as a decimal?

7/45 as a decimal is 0.15555555555556.

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.

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
ProblemWrite 0.6 as a percent and as a simplified fraction.
Simplify the fraction by dividing the numerator and denominator by 2, a common factor.
Answer0.6 = 60% =

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 0.76 repeating as a fraction?

0.76 Repeating Decimal is 76/99 as a Fraction.

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.

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 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 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%.