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Last updated on March 3rd, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), here 11, represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 25. 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.
11/25 in decimals can be written as 0.44. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 11/25 into a decimal, we will use the division method. Here as 11 is smaller than 25, we will take the help of the decimal method, which will give us 0.44.
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 (25) will be taken as the divisor.
Step 2: As 11 is smaller than 25, it can't be divided directly. Here we will take the help of decimals. We will add 0 to the dividend, making 11 into 110, and add a decimal point in the quotient place.
Step 3: Now that it is 110, we can divide it by 25. Let's see how many times 25 fits into 110.
Step 4: 25 goes into 110 four times (as 25 × 4 = 100). We write 4 in the quotient place and subtract 100 from 110, leaving us with 10.
Step 5: Bring down another 0 in the dividend place, making it 100, and divide by 25 again.
Step 6: 25 fits into 100 four times (as 25 × 4 = 100), leaving no remainder. The division process ends here.
The answer for 11/25 as a decimal is 0.44.