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Last updated on March 5th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 11, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here it is 100. A decimal is a way to represent a number that is not whole, using a (.) or 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 the numbers to the right represent the fractional part.
11/100 in decimals can be written as 0.11. This is a terminating decimal, meaning it ends after two decimal places.
To convert 11/100 into a decimal, we will use the division method. Here, since 11 is smaller than 100, we use the decimal method.
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 (100) will be taken as the divisor.
Step 2: As 11 is smaller than 100, we can't divide it directly. We will add 0 to the dividend, which will make it 110, and add a decimal point in the quotient place.
Step 3: Now that it is 110, we can divide it by 100. 100 goes into 110 once, so we write 1 in the quotient place and subtract 100 from 110, giving us a remainder of 10.
Step 4: Bring down another 0 in the dividend place to make it 100. Divide 100 by 100, which goes once, and we write 1 in the quotient place.
Step 5: Subtract 100 from 100, resulting in a remainder of 0, indicating the division process is complete.
The answer for 11/100 as a decimal will be 0.11.