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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 the whole. It has two parts: the numerator (number on the top), here 41, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here, it is 50. 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.
41/50 in decimals can be written as 0.82. It is a terminating decimal, which ends after a finite number of digits.
To get 41/50 in decimal, we will use the division method. Since 41 is smaller than 50, we will use the decimal method, which will give us 0.82. 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 (50) will be taken as the divisor.
Step 2: As 41 is smaller than 50, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making 41 as 410 and add a decimal point in the quotient place.
Step 3: Now that it is 410, we can divide it by 50. Let's see how many times 50 fits into 410.
Step 4: We find that 50 × 8 = 400 is the nearest multiple. We will write 8 in the quotient place. Subtracting 400 from 410 gives 10.
Step 5: Bring down another 0 in the dividend place and make 10 as 100. Then repeat the division process.
Step 6: 50 × 2 = 100, so we write 2 in the quotient place, and subtract 100 from 100 to get 0 as a remainder.
The division process stops here with no remainder, indicating that 41/50 as a decimal will be 0.82.