11 1/8 as a Decimal

Answer

11 1/8 in decimals can be written as 11.125. It is a terminating decimal, meaning it ends after a finite number of digits.

Explanation

To convert 11 1/8 to a decimal, we first convert the fractional part (1/8) to a decimal. We will use the division method.

Step 1: Identify the numerator and the denominator. The numerator (1) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 1 by 8. Since 1 is smaller than 8, we will add a decimal point to the quotient and a 0 to the dividend, making it 10.

Step 3: Divide 10 by 8. 8 goes into 10 once, so we write 1 in the quotient place and subtract 8 from 10, giving us a remainder of 2.

Step 4: Bring down another 0, making it 20. Divide 20 by 8. 8 goes into 20 two times, so we write 2 in the quotient and subtract 16 from 20, resulting in a remainder of 4.

Step 5: Bring down another 0, making it 40. Divide 40 by 8. 8 goes into 40 exactly five times, so we write 5 in the quotient and have a remainder of 0. Thus, 1/8 as a decimal is 0.125.

Adding this to the whole number 11, we get 11.125 as the decimal representation of 11 1/8.

• 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.