16/11 as a Decimal

Answer

16/11 in decimal form can be written as 1.4545... It is a recurring decimal, meaning it will repeat the same sequence of digits infinitely.

Explanation

To convert 16/11 to a decimal, we use the division method. Since 16 is larger than 11, we can directly divide 16 by 11 to find the decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (16) will be the dividend, and the denominator (11) will be the divisor.

Step 2: Divide 16 by 11. The whole number part of the quotient is 1.

Step 3: Subtract 11 from 16, which gives a remainder of 5.

Step 4: Bring down a 0 to make it 50 and divide by 11. The quotient is 4, giving us 44 as the product.

Step 5: Subtract 44 from 50 to get a remainder of 6.

Step 6: Bring down another 0 to make it 60 and divide by 11, which again gives 5, resulting in 55 when multiplied.

Step 7: Subtract 55 from 60 to get a remainder of 5.

The process continues, showing that 16/11 equals 1.4545..., which is a recurring decimal.

• 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.

• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.