# 0.825 as a Fraction 0.825 as a fraction and percent expansion provides the details of what is the equivalent fraction and percent for decimal 0.825, and the answer with steps to understand how it is being calculated.

0.825 as a Fraction
0.825 = (?)
= (0.825/1) x (1000/1000)
= 825/1000
= (33 x 25)/(40 x 25)
= 33/40
0.825 = 33/40
0.825 as a fraction equals to 33/40

where,
0.825 is a decimal,
33/40 is a fraction in simplest form.

0.825 in Percent
0.825 = (0.825 x 100)/100
= 82.5/100
= 82.5%
0.825 as a percent is 82.5%

where,
0.825 is a decimal,
82.5% is a percentage.

For values other than 0.825, use this below tool:

## How-to: 0.825 as a Fraction

The below workout with step by step calculation shows how to convert 0.825 to fraction in simplest form manually.

step 1 Address the input parameters and observe what to be found:
Input values:
The decimal number = 0.825

What to be found:
What is 0.825 as a fraction in simplest form?

step 2 Write 0.825 as a simple fraction:
0.825/1

step 3 Find how many 10s should be multiplied with both numerator and denominator:
Since the decimal 0.825 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.825/1 to make numerator as a whole number.
(0.825 x 1000)/(1 x 1000) = 825/1000

step 4 Rewrite the numerator and denominator of the fraction 825/1000 in the form of multiplication factors as like the below:
= (33 x 25)/(40 x 25)

step 5 Check and cancel the factors of 825 and 1000 if any factors in the numerator and denominator can be cancelled each other:
= (33 x 25)/(40 x 25)
825/1000 = 33/40

Hence,
0.825 as a fraction is equal to 33/40. 