11/8 as a Decimal

Answer

11/8 in decimals can be written as 1.375. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 11/8 to decimal, we will use the division method. Since 11 is greater than 8, we proceed with division without needing to adjust with decimals initially. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (11) will be taken as the dividend and the denominator (8) as the divisor.

Step 2: Divide 11 by 8. The whole number part of the quotient will be written to the left of the decimal point.

Step 3: 8 goes into 11 one time, so write 1 in the quotient place and subtract 8 from 11, giving a remainder of 3.

Step 4: Bring down a 0 to make it 30 and continue the division process.

Step 5: 8 goes into 30 three times (8 x 3 = 24), so write 3 after the decimal point, leaving a remainder of 6.

Step 6: Bring down another 0 to make it 60, and continue. 8 goes into 60 seven times (8 x 7 = 56), leaving a remainder of 4.

Step 7: Bring down another 0 to make it 40. 8 goes into 40 five times (8 x 5 = 40), leaving no remainder.

The division process ends here, and the answer for 11/8 as a decimal is 1.375.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses 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.