3/64 as a Decimal

Answer

3/64 in decimals can be written as 0.046875. It is a terminating decimal, meaning it ends after a certain number of digits.

Explanation

To get 3/64 in decimal, we will use the division method. Here, as 3 is smaller than 64, we will take help of decimal method which will give us 0.046875. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (64) will be taken as the divisor.

Step 2: As 3 is smaller than 64, it can't be divided, so we will take the help of decimals. We will add 0 to the dividend, which makes 3 as 30 and add a decimal point in the quotient place.

Step 3: Now that it is 30, we will bring down another 0 making it 300.

Step 4: Divide 300 by 64. 64 goes into 300 approximately 4 times (as 64×4=256). Subtract 256 from 300 to get 44.

Step 5: Bring down another 0 to make it 440, and divide by 64 to get 6 (as 64×6=384). Subtract 384 from 440 to get 56.

Step 6: Bring down another 0 to make it 560, and divide by 64 to get 8 (as 64×8=512). Subtract 512 from 560 to get 48.

Step 7: Bring down another 0 to make it 480, and divide by 64 to get 7 (as 64×7=448). Subtract 448 from 480 to get 32.

Step 8: Bring down another 0 to make it 320, and divide by 64 to get 5 (as 64×5=320). Subtract 320 from 320 to get 0.

The answer for 3/64 as a decimal will be 0.046875.

• 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.