19/64 as a Decimal

Answer

19/64 in decimals can be written as 0.296875. It is a terminating decimal, showing it does not repeat indefinitely.

Explanation

To get 19/64 in decimal, we will use the division method. Here, as 19 is smaller than 64, we will use the decimal method, which will give us 0.296875. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (19) will be taken as the dividend, and the denominator (64) will be taken as the divisor.

Step 2: As 19 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 19 as 190 and add a decimal point in the quotient place.

Step 3: Now that it is 190, we can divide it by 64. Let's see how many times 64 makes 190.

Step 4: 190 is not a multiple of 64, so we will look for the nearest number that is 64 × 2 = 128. We will write 2 in the quotient place and subtract 128 from 190, which gives 62.

Step 5: Bring down another 0 in the dividend place, making 62 into 620, then continue the division process. The division process continues, and we find that the remainder eventually becomes 0, indicating a terminating decimal.

The answer for 19/64 as a decimal will be 0.296875.

• 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.