1/27 as a Decimal

Answer

1/27 in decimals can be written as 0.037037….. It is a recurring decimal, showing it will repeat the same digits infinitely.

Explanation

To get 1/27 in decimal, we will use the division method. Here, as 1 is smaller than 27, we will take the help of the decimal method, which will give us 0.037037. Let's see the step-by-step breakdown of the process:

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

Step 2: As 1 is smaller than 27, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Now that it is 10, we cannot divide it by 27. We need to make this number larger by adding another zero, making it 100.

Step 4: 100 is not a multiple of 27, so we will look for the nearest number that is 27 × 3 = 81. We will write 3 in the quotient place and subtract 81 from 100, which gives us 19.

Step 5: Bring down another 0 in the dividend place, making it 190, and then repeat the division process.

Step 6: 190 divided by 27 gives 7, which is the nearest multiple (27 × 7 = 189), leaving a remainder of 1.

Step 7: Repeat the process by bringing down another 0. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 1/27 as a decimal will be 0.037037……

• 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 in which a sequence of digits repeats infinitely.