33/20 as a Decimal

Answer

33/20 in decimals can be written as 1.65. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 33/20 in decimal, we will use the division method. Here's a step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (33) will be taken as the dividend and the denominator (20) will be taken as the divisor.

Step 2: Divide 33 by 20. 33 is larger than 20, so we can proceed with the division without adding any initial decimal point.

Step 3: 20 fits into 33 once, so we write 1 in the quotient place. Subtract 20 from 33, which gives 13.

Step 4: Bring down a 0 to make it 130. Now, divide 130 by 20. 20 fits into 130 six times, so write 6 in the quotient place after the decimal point and subtract 120 (20×6) from 130 to get 10.

Step 5: Bring down another 0 to make it 100. Now, divide 100 by 20. 20 fits into 100 five times, so write 5 in the quotient place after the decimal point, and you get a remainder of 0.

This division process shows that 33/20 as a decimal is 1.65, a terminating decimal.

• 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.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.