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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, 21 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 the 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.
21/100 in decimal form can be written as 0.21. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 21/100 to a decimal, we will use the division method. Since 21 is smaller than 100, we will use the decimal method, which will give us 0.21. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (21) will be taken as the dividend and the denominator (100) will be taken as the divisor.
Step 2: As 21 is smaller than 100, it can't be divided to give a whole number quotient directly, so we will use decimals.
Step 3: By adding a decimal point in the quotient, we can proceed with the division, turning the situation into 210 being divided by 100.
Step 4: 100 goes into 210 two times, so 2 is written in the quotient place, which makes 2 × 100 = 200. Subtracting 200 from 210 gives 10.
Step 5: Bring down another 0 in the dividend place to make it 100, and repeat the division process.
Step 6: 100 goes into 100 exactly once. Write 1 in the quotient place. Now, since the remainder is 0, the process stops here.
The answer for 21/100 as a decimal is 0.21.