8/30 as a Decimal

Answer

8/30 in decimals can be written as 0.2666... It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 8/30 in decimal, we will use the division method. Here as 8 is smaller than 30, we will take help of the decimal method which will give us 0.2666. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (8) will be taken as dividend and denominator (30) will be taken as divisor.

Step 2: As 8 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 8 as 80 and add a decimal point in the quotient place.

Step 3: Now that it is 80, we can divide it by 30. Let's see how many times 30 makes 80.

Step 4: 80 is not a multiple of 30, so we will look for the nearest number that is 30 × 2 = 60. We will write 2 in the quotient place and subtract 60 from 80 to get 20.

Step 5: Bring down another 0 in the dividend place to make 20 as 200 and then repeat the division process.

Step 6: 200 divided by 30 is 6 times 30, which is 180. Write 6 in the quotient place and subtract 180 from 200 to get 20, then repeat. The division process continues, we don't get the remainder as 0; this process is called a recurring decimal.

The answer for 8/30 as a decimal will be 0.2666...

• 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.