11/16 as a Decimal

Answer

11/16 in decimals can be written as 0.6875. It is a terminating decimal, indicating it ends after a certain number of digits.

Explanation

To get 11/16 in 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: Since 11 is smaller than 16, it cannot be divided without using decimals. We will add 0 to the dividend to make it 110 and place a decimal point in the quotient place.

Step 3: Now divide 110 by 16. We find that 16 × 6 = 96, which is the largest multiple of 16 that fits into 110.

Step 4: Write 6 in the quotient place and subtract 96 from 110, giving us a remainder of 14.

Step 5: Bring down another 0 to the remainder to make it 140. Divide 140 by 16, giving us 16 × 8 = 128.

Step 6: Write 8 in the quotient place and subtract 128 from 140, giving a remainder of 12.

Step 7: Bring down another 0 to make it 120. Divide 120 by 16, giving us 16 × 7 = 112.

Step 8: Write 7 in the quotient place and subtract 112 from 120, giving us a remainder of 8.

Step 9: Bring down another 0 to make it 80. Divide 80 by 16, giving us 16 × 5 = 80.

Step 10: Write 5 in the quotient place. Since the remainder is now 0, the division process is complete.

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.