33/65 into mixed number

Since 33/65 is less than one, it cannot be stated as a mixed number. However, the inverse (65/33) can be stated as 1 32/33.

33=3*11

65=5*13

33/65=(3*11)/(5*13)

To convert the fraction 33/65 into a mixed number, you need to divide the numerator (33) by the denominator (65) and express it as a whole number and a fraction.

Step 1: Divide 33 by 65:
33 ÷ 65 = 0.5077 (rounded to four decimal places)

Step 2: Express the decimal as a fraction:
Since 0.5077 is a repeating decimal, we need to convert it into a fraction. To do that, we'll assign a variable (let's use "x") to the repeating decimal and subtract it from itself shifted two places to the right. Then we'll solve for "x".

x = 0.5077
100x = 50.77

100x - x = 50.77 - 0.5077
99x = 50.2623

x = 50.2623/99
x ≈ 0.5073 (rounded to four decimal places)

Step 3: Express the fraction in lowest terms:
The fraction 0.5073 can be written as 5073/10000 in its lowest terms. To simplify it further, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 157.

5073 ÷ 157 = 33
10000 ÷ 157 = 64

So, the fraction 0.5073 is equivalent to 33/65.

Step 4: Express the mixed number:
Now that we have the whole number (33) and the fraction (33/65), we can express it as a mixed number. The whole number will be the quotient of the division from step 1, and the fraction will be 33/65.
Therefore, 33/65 in mixed number form is 0 33/65 or simply 33/65.

Please note that if the original fraction is an improper fraction (where the numerator is greater than the denominator), you would get a mixed number with a whole number part and a proper fraction part.