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114 LearnersLast updated on March 11th, 2025
21/25 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), here 21, which represents how many parts out of the whole, and the denominator (the number below), here 25, which shows how many parts make up the whole. 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 part, and those to the right represent the fractional part.
What is 21/25 as a decimal?
Answer
21/25 as a decimal can be written as 0.84. It is a terminating decimal, meaning it does not repeat infinitely.
Explanation
To convert 21/25 to a decimal, we will use the division method. Here, 21 is smaller than 25, so we will use the decimal method to convert it to 0.84. 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 (25) as the divisor.
Step 2: Since 21 is smaller than 25, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making it 210, and add a decimal point in the quotient place.
Step 3: Now, divide 210 by 25. 25 goes into 210 eight times, because 25 × 8 = 200.
Step 4: Subtract 200 from 210 to get 10.
Step 5: Bring down another 0 in the dividend place, making it 100, and divide by 25. 25 goes into 100 four times, because 25 × 4 = 100.
Step 6: Subtract 100 from 100 to get 0 as the remainder. Since the remainder is 0, the process ends here, resulting in a terminating decimal.
The answer for 21/25 as a decimal is 0.84.
Important Glossaries for 21/25 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
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