19/30 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here, 19, representing how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 30. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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 19/30 as a decimal?

$19/30 as a decimal$

Answer

19/30 in decimals can be written as 0.63333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 19/30 in decimal, we will use the division method. Here, as 19 is smaller than 30, we will take the help of decimal method, which will give us 0.6333. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (19) will be taken as the dividend, and the denominator (30) will be taken as the divisor.

Step 2: As 19 is smaller than 30, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 19 as 190, and add a decimal point in the quotient place.

Step 3: Now that it is 190, we can divide it by 30. Let's see how many times 30 fits into 190.

Step 4: 190 is not a multiple of 30, so we will look for the nearest number, which is 30 × 6 = 180. We will write 6 in the quotient place, and subtracting 180 from 190 gives 10.

Step 5: Bring down another 0 in the dividend place and make 10 as 100, then repeat the division process. The division process continues; we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 19/30 as a decimal will be 0.6333……