8/27 as a Decimal

Answer

8/27 in decimals can be written as 0.296296... It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 8/27 in decimal, we will use the division method. Here, since 8 is smaller than 27, we will use the decimal method, which will give us 0.296296. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (27) will be taken as the divisor.

Step 2: As 8 is smaller than 27, it can't be divided directly; here, we will take the help of decimals. We will add 0 to the dividend, making 8 as 80, and add a decimal point in the quotient place.

Step 3: Now that it is 80, we can divide it by 27. Let's see how many times 27 fits into 80.

Step 4: 80 is not a multiple of 27, so we will look for the nearest number that is 27 × 2 = 54. We will write 2 in the quotient place and subtract 54 from 80, which gives 26.

Step 5: Bring down another 0 in the dividend place and make 26 as 260, then repeat the division process. The division process continues, and we see the digits start repeating. This process is called a recurring decimal.

The answer for 8/27 as a decimal will be 0.296296...

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses 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 that repeats a sequence of digits infinitely.