4/11 as a Decimal

Answer

4/11 in decimals can be written as 0.363636….. It is a recurring decimal, showing it will repeat the same digits infinitely.

Explanation

To get 4/11 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 (4) will be taken as the dividend, and the denominator (11) will be taken as the divisor.

Step 2: As 4 is smaller than 11, it can't be divided directly. Here, we will take the help of decimals. We will add a decimal point in the quotient place and add 0 to the dividend, making it 40.

Step 3: Now that it is 40, we can divide it by 11. Let's see how many times 11 fits into 40.

Step 4: 40 is not a multiple of 11, so we will look for the nearest number that is 11 × 3 = 33. We will write 3 in the quotient place and subtract 33 from 40, giving us 7.

Step 5: Bring down another 0 in the dividend place to make it 70, and then repeat the division process. The division process continues, with the remainder cycling through the same digits repeatedly. This process is called a recurring decimal.

The answer for 4/11 as a decimal will be 0.3636……

• 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 that repeats the same digits infinitely.