33/40 as a Decimal

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This is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole. It has two components: the numerator (number on the top), here 33, represents how many parts we have. The denominator (number below) shows how many parts make up the whole, here it is 40. A decimal is a way to represent numbers that are not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 33/40 as a decimal?

$33/40 as a decimal$ Answer

33/40 in decimals can be written as 0.825.

Explanation

To convert 33/40 into a 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 (33) will be taken as the dividend and the denominator (40) as the divisor.

Step 2: Divide 33 by 40. Since 33 is smaller than 40, we will have a decimal.

Step 3: Perform the division: - 33 divided by 40 gives 0 with a remainder of 33. - Add a decimal point to the quotient and a 0 to the remainder, making it 330. - 330 divided by 40 gives 8 with a remainder of 10. - Add another 0 to make it 100. - 100 divided by 40 gives 2 with a remainder of 20. - Add another 0 to make it 200. - 200 divided by 40 gives 5 with no remainder.

The answer for 33/40 as a decimal is 0.825.

Important Glossaries for 33/40 as a 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. --- If you need further modifications or additional sections, feel free to ask!