27/64 as a Decimal

Answer:

27/64 in decimals can be written as 0.421875. It is a terminating decimal, meaning it does not repeat and ends after a few decimal places.

Explanation:

To get 27/64 in decimal, we will use the division method. Here as 27 is smaller than 64, we will employ the decimal method which will yield 0.421875. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (27) will be taken as the dividend and denominator (64) will be taken as the divisor.

Step 2: As 27 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 will make 27 as 270 and add a decimal point in the quotient place.

Step 3: Now that it is 270, we can divide it by 64. Let's see how many times 64 fits into 270.

Step 4: 64 goes into 270 four times (64 × 4 = 256). We will write 4 in the quotient place and subtract 256 from 270, which gives 14.

Step 5: Bring down another 0 in the dividend place to make 140, and then repeat the division process.

Step 6: 64 goes into 140 two times (64 × 2 = 128). We will write 2 in the quotient place and subtract 128 from 140, which gives 12.

Step 7: Continue bringing down zeros and dividing until no remainder is left. The division process ends, and we get a terminating decimal.

The answer for 27/64 as a decimal will be 0.421875.

• 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.