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Last updated on March 24th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top), here, 13, which 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.
13/100 in decimals can be written as 0.13. It is a terminating decimal, showing it ends without repeating infinitely.
To convert 13/100 to a decimal, we will use the division method. Here, as 13 is smaller than 100, we will express it using the decimal method, which gives us 0.13. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and the denominator because the numerator (13) will be taken as the dividend and the denominator (100) will be taken as the divisor.
Step 2: As 13 is smaller than 100, it can't be divided to give a whole number. Here, we will take the help of decimals. We will add a decimal point in the quotient place and make 13 as 130.
Step 3: Divide 130 by 100. 100 goes into 130 one time, giving us 1 in the quotient place.
Step 4: Subtract 100 from 130, which leaves us with 30.
Step 5: Bring down another 0 in the dividend place to make it 300.
Step 6: Divide 300 by 100, which goes three times, giving us 3 in the quotient place.
Thus, the answer for 13/100 as a decimal will be 0.13.