11/12 as a Decimal

Answer

11/12 in decimals can be written as approximately 0.91666….. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get 11/12 in decimal, we will use the division method. Here, as 11 is smaller than 12, we will take help of the decimal method which will give us approximately 0.91666. 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 (12) will be taken as the divisor.

Step 2: As 11 is smaller than 12, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, which makes 11 as 110 and adds a decimal point in the quotient place.

Step 3: Now that it is 110, we can divide it by 12. Let's see how many times 12 fits into 110.

Step 4: 110 is not a multiple of 12, so we will look for the nearest number that is 12 × 9 = 108. We will write 9 in the quotient place and subtract 108 from 110, which gives 2.

Step 5: Bring down another 0 in the dividend place to make 2 as 20, then repeat the division process. The division process continues, giving a recurring decimal.

The answer for 11/12 as a decimal will be approximately 0.91666……

• 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 indefinitely.