14/11 as a Decimal

Answer

14/11 in decimals can be written as 1.2727….. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 14/11 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 (14) will be taken as the dividend and the denominator (11) will be taken as the divisor.

Step 2: 14 divided by 11 gives 1 as the quotient, with a remainder of 3. Add a decimal point in the quotient and bring down a 0 to make the remainder 30.

Step 3: Divide 30 by 11, which gives 2 as part of the quotient, with a remainder of 8. Bring down another 0 to make it 80.

Step 4: Divide 80 by 11, which gives 7 as part of the quotient, with a remainder of 3. Bring down another 0 to make it 30 again.

Step 5: Repeat the process as the remainder cycles through, confirming it is a recurring decimal.

The answer for 14/11 as a decimal will be 1.2727……

• 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 digit or group of digits repeats infinitely.