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Last updated on March 13th, 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 22, representing 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
22/100 in decimals can be written as 0.22. It is a terminating decimal, meaning it does not repeat indefinitely.
To convert 22/100 into a decimal, we will use the division method. Here, 22 is smaller than 100, so the result will be less than 1. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (22) will be taken as the dividend and the denominator (100) will be taken as the divisor.
Step 2: As 22 is smaller than 100, it can't be divided to get a whole number, so we use decimals. We add a decimal point in the quotient place and make the dividend 220 by considering 22 as 2200 when divided by 100.
Step 3: Now, divide 220 by 100. We see that 100 goes into 220 two times (2 x 100 = 200).
Step 4: Write 2 in the quotient place after the decimal, subtract 200 from 220 to get 20.
Step 5: Bring down another 0 to make it 200 and repeat the division process
. Step 6: 100 goes into 200 exactly two times. So, we add another 2 in the quotient after the decimal point.
The answer for 22/100 as a decimal is 0.22.