To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number).
In the fraction 1/19, the numerator is 1 and the denominator is 19. Dividing 1 by 19 gives a decimal answer of 0.05263157894736842.
Is 1/19 a terminating decimal?
1/19 is not a terminating decimal because it cannot be written as a finite decimal expansion. In other words, the decimal expansion of 1/19 goes on forever without repeating. However, 1/19 can be written as a mixed fraction, which is a finite decimal expansion.
What is the decimal equivalent of 1/19?
Decimals are used to represent fractions of whole numbers. When we divide a whole number by another whole number, the resulting answer is called a quotient. The decimal equivalent of 1/19 is 0.052631578947368.
When we divide a whole number by another whole number, the resulting answer is called a quotient. The decimal equivalent of 1/19 is 0.052631578947368. A decimal is a way of representing a fraction using a combination of whole numbers and number 10 as a base. In other words, a decimal is a fraction whose denominator is a power of 10.
To find the decimal equivalent of 1/19, we need to divide 1 by 19. We can use long division to do this.
1 ÷ 19 = 0.052631578947368
Since 1/19 is a repeating decimal, its decimal equivalent will have a bar over the 5 and the 8, indicating that they repeat infinitely.
What is the fraction 1/19 as a decimal?
The fraction 1/19 as a decimal is 0.052631578947368421.
How do you convert the fraction 1/19 to a decimal?
To convert a fraction to a decimal, divide the numerator by the denominator. In the fraction 1/19, the numerator is 1 and the denominator is 19. Dividing 1 by 19, the answer is 0.0526315789 which is the decimal equivalent of 1/19.
What's the easiest way to remember how to convert 1/19 to a decimal?
There are a few different ways that you can go about converting 1/19 to a decimal. The first way is to use a calculator, and divide 1 by 19. This will give you the answer of 0.052631578947368421052631578947368.
Another way to do this is to use long division. You can set up your long division like this:
1 ) 19
19 goes into 1 once, with a remainder of 0. Write 1 above the line again 19 goes into 0, so write 0 above the line.
Now, bring down the 0 that is under the 1, and put it next to the 5 in 1/19. 19 goes into 0 5 times, so write 5 above the line. Now, subtract 0-5 to get -5. Write -5 under the line. Bring down the next number, which is a 3. 19 goes into -5 3 times, so write 3 above the line. Subtract -5-(3*19) to get -64. Write -64 under the line. Bring down the next 8. 19 goes into -64 8 times, so write 8 above the line. Subtract -64-(8*19) to get -128. Write -128 under the line. The last number is a 7, so write 7 above the line. Subtract -128-(7*19) to get -169. Write -169 under the line, and put a decimal point at the end.
So, the long division method gives us the answer of 0.052631578947368421052631578947368, which is the same as the answer we got using a calculator.
Overall, the easiest way to remember how to convert 1/19 to a decimal is to use a calculator, and divide 1 by 19.
What is the decimal form of 1/19?
In mathematics, a decimal form of a number is defined as its expression in base 10. The decimal form of 1/19 can be calculated by first converting 1/19 to a fraction with a denominator of 10, 100, or 1000, and then expressing this fraction as a decimal.
To convert 1/19 to a fraction with a denominator of 10, we multiply both the numerator and denominator by 5 to get 5/95. To convert 1/19 to a fraction with a denominator of 100, we multiply both the numerator and denominator by 10 to get 10/190. To convert 1/19 to a fraction with a denominator of 1000, we multiply both the numerator and denominator by 50 to get 50/950.
The decimal form of 1/19 can now be easily calculated by expressing each of these fractions as a decimal. The decimal form of 5/95 is 0.05263157894736842, the decimal form of 10/190 is 0.05263157894736842, and the decimal form of 50/950 is 0.05263157894736842. Therefore, the decimal form of 1/19 is 0.05263157894736842.
What is one-nineteenth as a decimal?
As a decimal, one-nineteenth can be written as 0.052631578947368.
What is the decimal for one-nineteenth?
One-nineteenth can be written as a decimal in two ways. The first way is by using division. One-nineteenth can be divided by one to equal nineteen. Therefore, the decimal for one-nineteenth is .0526. The second way to write one-nineteenth as a decimal is by using fractions. One-nineteenth can be written as a fraction by taking the number one and dividing it by nineteen. When this fraction is turned into a decimal, the decimal for one-nineteenth is .0526.
Frequently Asked Questions
What is the decimal expansion of a rational number?
The decimal expansion of a rational number is terminating decimal.
What is the decimal expansion of 1/11?
0.0909
What is decimals in expanded form?
Decimals in expanded form is a calculator that helps you work with numbers that contain decimals, like 0.90 or 3.1415. It shows the work to find and represent the place values (one-tenths, one-hundredths, one-thousandths and so on) of given decimal point numbers.
What is the period of a decimal expansion?
In general, the period of a decimal expansion is the smallest block of repeating digits (if there are no repeating digits, the decimal is terminating ).
What is a repeating decimal?
A repeating decimal is a decimal number with a digit, or group of digits, that repeat on and on, without end; in other words, the digits are periodic. The repeating digits also cannot all be zero; 1.000000 is not a repeating decimal even though we can add an infinite number of 0s after the decimal point.