3/19 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, 3 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 3/19 as a decimal?

$3/19 as a decimal$

Answer

3/19 in decimals can be written as approximately 0.1578947368. It is a non-recurring decimal, meaning it does not repeat the same digit infinitely.

Explanation

To get 3/19 in decimal, we will use the division method. Here, as 3 is smaller than 19, we will take help of the decimal method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (3) will be taken as the dividend and denominator (19) will be taken as the divisor.

Step 2: As 3 is smaller than 19, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 3 as 30 and add a decimal point in the quotient place.

Step 3: Now that it is 30, we can divide it by 19. Let's see how many times 19 makes 30.

Step 4: 30 is not a multiple of 19, so we will look for the nearest number. 19 × 1 = 19 We will write 1 in the quotient place and subtract 19 from 30 to get 11.

Step 5: Bring down another 0 in the dividend place, making 11 as 110, and then repeat the division process. The division process continues until the desired decimal places are reached or the remainder is 0. This process is called non-terminating decimal.

The answer for 3/19 as a decimal will be approximately 0.1578947368.