- 11/16 as a Decimal

Answer

11/16 in decimals can be written as 0.6875. It is a terminating decimal, meaning it does not repeat and has a finite number of decimal places.

Explanation

To convert 11/16 to a decimal, we will use the division method. 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 (16) will be taken as the divisor.

Step 2: Divide 11 by 16 using long division.

Step 3: As 11 is smaller than 16, we can't divide it directly, so we will add a decimal point and a zero, making it 110.

Step 4: Now divide 110 by 16. 16 goes into 110 six times (16×6=96), so we write 6 after the decimal point. Subtract 96 from 110, leaving 14.

Step 5: Bring down another 0, making it 140. 16 goes into 140 eight times (16×8=128), so write 8 after the 6. Subtract 128 from 140, leaving 12.

Step 6: Bring down another 0, making it 120. 16 goes into 120 seven times (16×7=112), so write 7 after the 8. Subtract 112 from 120, leaving 8.

Step 7: Bring down another 0, making it 80. 16 goes into 80 five times (16×5=80), and we have no remainder.

The division process ends here, and the answer for 11/16 as a decimal is 0.6875.

• 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.