11/36 as a Decimal

Answer

11/36 in decimal form can be written as approximately 0.3055555….. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 11/36 into a decimal, we will use the division method. Since 11 is smaller than 36, we will use the decimal method, resulting in 0.3055555. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (11) will be taken as the dividend and the denominator (36) as the divisor.

Step 2: As 11 is smaller than 36, it can't be divided directly. Here we will take the help of decimals. We will add 0 to the dividend, which will make 11 as 110 and add a decimal point in the quotient place.

Step 3: Now that it is 110, we can divide it by 36. Let's see how many times 36 goes into 110.

Step 4: 110 is not a multiple of 36, so we will look for the nearest number that is 36 × 3 = 108. We will write 3 in the quotient place and subtract 108 from 110, giving 2.

Step 5: Bring down another 0 in the dividend place to make 2 as 20 and then repeat the division process. The division process continues; we don't get the remainder as 0, indicating a recurring decimal.

The answer for 11/36 as a decimal will be approximately 0.3055555……

• 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 that repeats the same sequence of digits indefinitely.