11/30 as a Decimal

Answer

11/30 in decimals can be written as 0.3666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 11/30 in decimal, we will use the division method. Here as 11 is smaller than 30, we will take the help of the decimal method which will give us 0.3666. 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 (30) will be taken as the divisor.

Step 2: As 11 is smaller than 30, it can't be divided; here we will take the help of decimals. We will add 0 to the dividend, which will make 11 as 110 and add a decimal point in the quotient place.

Step 3: Now that it is 110, we can divide it by 30. Let's see how many times 30 makes 110.

Step 4: 110 is not a multiple of 30, so we will look for the nearest number that is 30 × 3 = 90. We will write 3 in the quotient place and subtract 90 from 110 to get 20.

Step 5: Bring down another 0 in the dividend place and make 20 as 200 and 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 11/30 as a decimal will be 0.3666……

• 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 sequence of digits infinitely.