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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 of the whole. It has two parts: the numerator (number on the top), here, 72, 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 point 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.
72/100 in decimals can be written as 0.72. It is a terminating decimal, meaning it does not repeat infinitely.
To get 72/100 in decimal, we will use the division method. Here, 72 is smaller than 100, so we will take the help of the decimal method, which will give us 0.72. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (72) will be taken as the dividend, and the denominator (100) will be taken as the divisor.
Step 2: Since 72 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 treat it as a division of 720 by 100.
Step 3: Now that it is 720, we can divide it by 100. Let's see how many times 100 goes into 720.
Step 4: 100 goes into 720 exactly 7 times, which gives 700. We will write 7 in the quotient place and subtract 700 from 720 to give 20.
Step 5: Bring down another 0 in the dividend place to make it 200, and then repeat the division process.
Step 6: 100 goes into 200 exactly 2 times, which gives 200. We will write 2 in the quotient place. Now, the remainder is 0. The division process finishes here, and we get the remainder as 0, which confirms it as a terminating decimal.
The answer for 72/100 as a decimal will be 0.72.