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Last updated on March 2nd, 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: 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 20. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
11/20 in decimals can be written as 0.55. It is a terminating decimal, meaning it ends after a certain number of decimal places.
To get 11/20 in decimal, we will use the division method. Here, as 11 is smaller than 20, we will take the help of the decimal method, which will give us 0.55.
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 (20) will be taken as the divisor.
Step 2: As 11 is smaller than 20, it can't be divided. 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 20. Let's see how many times 20 fits into 110.
Step 4: 20 goes into 110 five times because 20 × 5 = 100. We will write 5 in the quotient place and subtract 100 from 110, which gives 10.
Step 5: Bring down another 0 in the dividend place, making it 100, and then repeat the division process.
Step 6: 20 goes into 100 five times because 20 × 5 = 100. We will write 5 in the quotient place, and since there is no remainder, the division ends here.
The answer for 11/20 as a decimal will be 0.55.