5/33 as a Decimal

Answer

5/33 in decimals can be written as 0.151515..... It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 5/33 in decimal, we will use the division method. Here as 5 is smaller than 33, we will take help of the decimal method which will give us 0.151515. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (33) will be taken as the divisor.

Step 2: As 5 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 5 as 50, and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 33. Let's see how many times 33 makes 50.

Step 4: 50 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 50, which gives 17.

Step 5: Bring down another 0 in the dividend place to make 170 and then repeat the division process.

Step 6: 33 goes into 170 five times (33 × 5 = 165). Write 5 in the quotient, subtract 165 from 170 to get 5, and repeat the process with 50 again. The division process continues without the remainder reaching 0. This process is called a recurring decimal.

The answer for 5/33 as a decimal will be 0.151515.....

• 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 one or more digits repeat infinitely.