Last updated on May 26th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top) here, 11, representing how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 36. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
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.
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……