10/11 as a Decimal

Answer

10/11 in decimals can be written as 0.909090…. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 10/11 in decimal, we will use the division method. Here as 10 is smaller than 11, we will take help of the decimal method which will give us 0.9090…. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (10) will be taken as the dividend and the denominator (11) will be taken as the divisor.

Step 2: As 10 is smaller than 11, it can't be divided. Here we will take the help of decimals. We will add a 0 to the dividend, which will make 10 as 100, and add a decimal point in the quotient place.

Step 3: Now that it is 100, we can divide it by 11. Let's see how many times 11 fits into 100.

Step 4: 100 is not a multiple of 11, so we will look for the nearest number that is 11 × 9 = 99. We will write 9 in the quotient place and subtract 99 from 100, giving us 1.

Step 5: Bring down another 0 in the dividend place and make it 10, then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 10/11 as a decimal will be 0.909090….

• 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.