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.

• 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.