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Last updated on March 27th, 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, 6 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 500. 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
6/500 in decimal can be written as 0.012. It is a terminating decimal, as it ends after a few digits.
To get 6/500 in decimal, we will use the division method. Here, as 6 is smaller than 500, we will take the help of the decimal method, which will give us 0.012. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (500) will be taken as the divisor.
Step 2: As 6 is smaller than 500, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend repeatedly, which will make 6 as 60, then 600, and so on, and add a decimal point in the quotient place.
Step 3: Now we can divide 600 by 500. Let's see how many times 500 goes into 600.
Step 4: 500 goes into 600, 1 time. So, we write 1 in the quotient place and subtract 500 from 600, which gives 100.
Step 5: Bring down another 0 in the dividend place and make 100 as 1000, then divide by 500 again. 500 goes into 1000, 2 times.
Step 6: The remainder is 0, so the process ends here.
The answer for 6/500 as a decimal will be 0.012.