2/300 as a Decimal

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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 of the whole. It has two parts: the numerator (number on the top) here, 2 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 300. 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 2/300 as a decimal?

$2/300 as a decimal$

Answer

2/300 in decimals can be written as 0.00666..... It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get 2/300 in decimal, we will use the division method. Here, as 2 is smaller than 300, we will utilize the decimal method, which will give us 0.00666. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (300) will be taken as the divisor.

Step 2: As 2 is smaller than 300, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 2 as 20 and add a decimal point in the quotient place.

Step 3: Now that it is 20, we cannot divide it by 300. We continue to add zeros to the dividend until it becomes divisible, making it 2000.

Step 4: 2000 divided by 300 equals 6 with a remainder of 200.

Step 5: Bring down another 0 in the dividend place and make it 2000 again, then repeat the division process. The division process continues as we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 2/300 as a decimal will be 0.00666......