33/64 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (the number on the top) here, 33, represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 64. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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 33/64 as a decimal?

$33/64 as a decimal$

Answer

33/64 in decimals can be written as 0.515625. It is a terminating decimal, indicating it ends after a certain number of digits.

Explanation

To get 33/64 in decimal form, we will use the division method. Here, since 33 is smaller than 64, we will take the help of decimal method, which will give us 0.515625. 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 (64) will be taken as the divisor.

Step 2: As 33 is smaller than 64, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, making 33 as 330 and add a decimal point in the quotient place.

Step 3: Now that it is 330, we can divide it by 64. Let's see how many times 64 fits into 330.

Step 4: 330 divided by 64 gives approximately 5 times, as 64 × 5 = 320. We will write 5 in the quotient place and subtract 320 from 330, leaving 10.

Step 5: Bring down another 0 to make it 100, and then continue the division process.

Step 6: Continue this division process until the remainder is 0, resulting in the decimal 0.515625.

The answer for 33/64 as a decimal is 0.515625.

Important Glossaries for 33/64 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 has a finite number of digits after the decimal point and does not repeat infinitely.