1/36 as a Decimal

Answer

1/36 in decimals can be written as 0.027777….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 1/36 in decimal, we will use the division method. Here as 1 is smaller than 36, we will take help of the decimal method which will give us 0.027777. 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 (36) will be taken as the divisor.

Step 2: As 1 is smaller than 36, 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 still cannot divide by 36. We continue adding zeros until the dividend is sufficient.

Step 4: We bring down a zero to make it 100, divide 100 by 36 to get 2, which makes 36×2 = 72. We write 2 in the quotient place and subtract 72 from 100 to get 28.

Step 5: Bring down another 0 in the dividend place to make it 280 and divide by 36. The process continues with 36×7 = 252, leaving a remainder of 28. The division process continues, and we don’t get the remainder as 0, indicating that this process is called recurring decimal.

The answer for 1/36 as a decimal will be 0.027777……

• 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.