0.825 written as a fraction?
To express 0.825 as a fraction, we can start by writing it as 825/1000. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25. Thus, 0.825 can be written as the fraction 33/40.
To convert 0.825 to a fraction, we can follow the steps below:
Step 1: Let x be the fraction representation of 0.825.
Step 2: Multiply both sides of the equation by 1000 to eliminate the decimal point: 1000x = 825.
Step 3: Simplify the equation by dividing both sides by the greatest common divisor (GCD) of 1000 and 825, which is 25: 40x = 33.
Step 4: Divide both sides of the equation by 40 to isolate x: x = 33/40.
Therefore, 0.825 can be written as the fraction 33/40.