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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: the numerator (number on the top), here 13, which represents how many parts out of the whole; and the denominator (number below), which 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 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.
13/500 in decimals can be written as 0.026. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To convert 13/500 into a decimal, we will use the division method. Since 13 is smaller than 500, we will perform division using decimals. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (500) will be taken as the divisor.
Step 2: As 13 is smaller than 500, it can't be divided directly. Here we will use decimals. We will add 0 to the dividend, making 13 as 130 and adding a decimal point in the quotient place.
Step 3: Now that it is 130, we can divide it by 500. However, 130 is still smaller, so we continue the process.
Step 4: We will bring down another 0, making it 1300, and divide by 500. Let's see how many times 500 fits into 1300.
Step 5: 500 fits into 1300 two times (2 × 500 = 1000). We write 2 in the quotient place and subtract 1000 from 1300 to get 300.
Step 6: Bring down another 0 to make it 3000 and divide by 500 again. 500 fits into 3000 six times (6 × 500 = 3000). The division process ends with no remainder, making this a terminating decimal.
The answer for 13/500 as a decimal will be 0.026.