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Last updated on March 4th, 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, 15, represents how many parts out of the whole. The denominator (number below) shows how many parts make 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
15/100 in decimal form can be written as 0.15. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To convert 15/100 into a decimal, we will use the division method. Here, 15 is smaller than 100, so the decimal method will show us 0.15. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (15) will be taken as the dividend and the denominator (100) as the divisor.
Step 2: As 15 is smaller than 100, it can't be divided directly. We will use decimals. We will add 0 to the dividend, making it 150, and place a decimal point in the quotient.
Step 3: Now that it is 150, we can divide it by 100. Let's see how many times 100 goes into 150.
Step 4: 150 divided by 100 is 1 with a remainder of 50. We will write 1 in the quotient place.
Step 5: Bring down another 0 in the dividend place to make it 500, then divide again.
Step 6: 500 divided by 100 is 5. Write 5 in the quotient place. The division process shows the remainder becomes 0, and the decimal terminates.
The answer for 15/100 as a decimal is 0.15.