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Last updated on March 13th, 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, numerator (number on the top) here, 41 represents how many parts out of the whole. The denominator (number below) shows how many parts make up the whole, here it is 100. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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.
41/100 in decimals can be written as 0.41. It is a terminating decimal as it ends after two decimal places.
To get 41/100 in decimal form, we will use the division method. Here, since 41 is smaller than 100, we will take the help of the decimal method, which will give us 0.41. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (41) will be taken as the dividend, and the denominator (100) will be taken as the divisor.
Step 2: As 41 is smaller than 100, it can't be divided directly; here, we will take the help of decimals. We will add 0 to the dividend, which will make 41 as 410 and add a decimal point in the quotient place.
Step 3: Now that it is 410, we can divide it by 100. Let's see how many times 100 makes 410.
Step 4: 100 goes into 410 four times, as 100 × 4 = 400. We will write 4 in the quotient place and subtract 400 from 410, which gives 10.
Step 5: Bring down another 0 in the dividend place, making it 100, and then repeat the division process.
Step 6: 100 goes into 100 one time, as 100 × 1 = 100. We will write 1 in the quotient place, and there is no remainder.
The process stops here, and the answer for 41/100 as a decimal is 0.41.