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Last updated on March 17th, 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 the whole, here it is 8. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
41/8 in decimals can be written as 5.125. It is a terminating decimal.
To get 41/8 in decimal, we will use the division method. Here, 41 is larger than 8, so we will divide directly. 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 (8) will be taken as the divisor.
Step 2: Divide 41 by 8. 8 goes into 41 five times (8 × 5 = 40), leaving a remainder of 1.
Step 3: Bring down a 0 to make it 10.
Step 4: 8 goes into 10 once (8 × 1 = 8), leaving a remainder of 2.
Step 5: Bring down another 0 to make it 20.
Step 6: 8 goes into 20 two times (8 × 2 = 16), leaving a remainder of 4.
Step 7: Bring down another 0 to make it 40.
Step 8: 8 goes into 40 five times (8 × 5 = 40), leaving no remainder. The division process terminates, and the answer for 41/8 as a decimal is 5.125.