2/27 as a Decimal

Answer

2/27 in decimals can be written as 0.074074….. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 2/27 in decimal, we will use the division method. Here as 2 is smaller than 27, we will use the decimal method which will give us 0.074074. 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 (27) will be taken as the divisor.

Step 2: As 2 is smaller than 27, it can't be divided, so we will add a decimal point in the quotient place and add 0 to the dividend, making it 20.

Step 3: Now that it is 20, we still can't divide it by 27, so we add another 0, making it 200.

Step 4: 200 is not a multiple of 27, so we will look for the nearest number. 27 × 7 = 189. We will write 7 in the quotient place and subtract 189 from 200, giving 11.

Step 5: Bring down another 0 in the dividend place, making it 110, and repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 2/27 as a decimal will be 0.074074……

• 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.