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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 (the number on the top) here, 99, represents how many parts out of the whole. The denominator (the 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 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.
99/100 in decimal can be written as 0.99. It is a terminating decimal, meaning it ends after a finite number of digits.
To get 99/100 in decimal, we will use the division method. Here, as 99 is smaller than 100, we will convert it using the decimal method to get 0.99. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (99) will be taken as the dividend and the denominator (100) will be taken as the divisor.
Step 2: As 99 is smaller than 100, it can't be divided to yield a whole number, so we will use the decimals. We place a decimal point in the quotient and add zeros to the dividend if necessary.
Step 3: Now, divide 99 by 100. Since 99 is less than 100, the quotient begins with 0.
Step 4: Multiply 100 by 0 to get 0, and subtract from 99 to get 99.
Step 5: Bring down a 0 to make it 990 and divide by 100, obtaining 9.
Step 6: Multiply 100 by 9 to get 900, and subtract from 990 to get 90.
Step 7: Bring down another 0 to make it 900 and divide by 100, obtaining 9 again. The process concludes here because the remainder is 0, indicating a terminating decimal.
The answer for 99/100 as a decimal is 0.99.