4/33 as a Decimal

Answer

4/33 in decimals can be written as approximately 0.1212. It is a recurring decimal, showing it will repeat the same digits infinitely.

Explanation

To get 4/33 in decimal, we will use the division method. Here, as 4 is smaller than 33, we will use the decimal method which will give us 0.1212. 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 (33) will be taken as the divisor.

Step 2: As 4 is smaller than 33, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 4 as 40 and add a decimal point in the quotient place.

Step 3: Now that it is 40, we can divide it by 33. Let's see how many times 33 makes 40.

Step 4: 40 is not a multiple of 33, so we will look for the nearest number that is 33 × 1 = 33. We will write 1 in the quotient place and subtract 33 from 40 to give 7.

Step 5: Bring down another 0 in the dividend place and make 7 as 70, then repeat the division process.

Step 6: 33 goes into 70 two times, so we write 2 in the quotient and subtract 66 from 70, leaving 4.

Step 7: Bring down another 0, making it 40 again, and continue the division. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 4/33 as a decimal will be 0.1212……

• 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.