142 LearnersLast updated on May 26th, 2025
21/64 as a Decimal
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, 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 64. A decimal is a way to represent the 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 that to the right represents the fractional part.
What is 21/64 as a decimal?
Answer
21/64 in decimals can be written as 0.328125. It is a terminating decimal.
Explanation
To get 21/64 in decimal, we will use the division method. Here, as 21 is smaller than 64, we will take the help of decimal method, which will give us 0.328125. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because numerator (21) will be taken as dividend and denominator (64) will be taken as divisor.
Step 2: As 21 is smaller than 64, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 21 as 210 and add a decimal point in the quotient place.
Step 3: Divide 210 by 64. The quotient is 3, as 64 × 3 = 192. Subtract 192 from 210, which gives 18.
Step 4: Bring down another 0, making it 180. Divide 180 by 64. The quotient is 2, as 64 × 2 = 128. Subtract 128 from 180, which gives 52.
Step 5: Bring down another 0, making it 520. Divide 520 by 64. The quotient is 8, as 64 × 8 = 512. Subtract 512 from 520, which gives 8.
Step 6: Bring down another 0, making it 80. Divide 80 by 64. The quotient is 1, as 64 × 1 = 64. Subtract 64 from 80, which gives 16.
Step 7: Bring down another 0, making it 160. Divide 160 by 64. The quotient is 2, as 64 × 2 = 128. Subtract 128 from 160, which gives 32.
Step 8: Bring down another 0, making it 320. Divide 320 by 64. The quotient is 5, as 64 × 5 = 320. Subtract 320 from 320, which gives 0. The division process ends here with a remainder of 0.
Therefore, 21/64 as a decimal is 0.328125.
Important Glossaries for 21/64 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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