2/30 as a Decimal

Answer

2/30 in decimals can be written as 0.0667. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 2/30 in decimal, we will use the division method. Here as 2 is smaller than 30 we will take the help of the decimal method which will give us 0.0667. 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 (30) will be taken as the divisor.

Step 2: As 2 is smaller than 30 it can't be divided, here we will take the help of decimals. We will add 0 to the dividend, making 2 as 20 and adding a decimal point in the quotient place.

Step 3: Now that it is 20 we can divide it by 30. Let's see how many times 30 makes 20.

Step 4: 20 is not a multiple of 30, so we will look for the nearest number that is 0, since 30 cannot go into 20 without adding more to our dividend.

Step 5: Bring down another 0 in the dividend place, making it 200, and then repeat the division process. 30 goes into 200 six times, since 30 × 6 = 180. Subtract 180 from 200, which leaves 20.

Step 6: Repeat the process as it continues and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 2/30 as a decimal will be 0.0667.

• 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.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.