27 1/8 as a Decimal

Answer

27 1/8 in decimals can be written as 27.125. It is a terminating decimal, showing it ends after a certain number of digits.

Explanation

To get 27 1/8 in decimal, we will convert the fractional part first. The whole number part is already in decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number (27) and the fraction (1/8).

Step 2: Convert the fractional part 1/8 to a decimal.

Step 3: Divide 1 by 8 using the division method.

Step 4: 1 is smaller than 8, so we take the help of a decimal. Add a 0 to the dividend, making it 10, and place a decimal point in the quotient.

Step 5: Determine how many times 8 fits into 10. 8 fits into 10 one time, so write 1 in the quotient and subtract 8 from 10, leaving 2.

Step 6: Bring down another 0, making it 20. 8 fits into 20 two times (2 × 8 = 16), write 2 in the quotient, subtract 16 from 20, leaving 4.

Step 7: Bring down another 0, making it 40. 8 fits into 40 five times (5 × 8 = 40), write 5 in the quotient, and subtract 40 from 40, leaving 0.

Step 8: The division ends with a remainder of 0, so 1/8 as a decimal is 0.125.

Step 9: Combine the whole number part with the decimal to get 27.125.

• 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 after a finite number of digits and does not repeat infinitely.