1/19 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top) here, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 19. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 1/19 as a decimal?

$1/19 as a decimal$

Answer

1/19 in decimals can be written as 0.052631578947368421..... It is a non-recurring decimal, showing it will have a specific pattern before repeating.

Explanation

To get 1/19 in decimal, we will use the division method. Here as 1 is smaller than 19, we will take help of the decimal method, which will give us 0.052631578947368421. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend, and the denominator (19) will be taken as the divisor.

Step 2: As 1 is smaller than 19, it can't be divided by itself; here, we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Now that it is 10, we can continue the division by 19. Since 10 is smaller than 19, we add another zero to the dividend and continue.

Step 4: Now, it's 100 divided by 19. Calculate the whole number part of the division, which is 5. Subtract 95 (19 × 5) from 100 to get 5.

Step 5: Bring down another 0 to make it 50, and repeat the division process. Continue this process until you reach a repeating pattern or stop when the desired precision is achieved.

The answer for 1/19 as a decimal will be 0.052631578947368421....

Important Glossaries for 1/19 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Non-terminating Decimal: A decimal that continues infinitely without ending, which may or may not repeat a pattern.