Answer:
Step-by-step explanation:
0.825 = 33/40 as a fraction
To convert the decimal 0.825 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.825 = 0.825/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,
0.825/1
= (0.825 × 1000)/(1 × 1000) = 825/1000.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(825,1000) = 25. So,
(825÷25)/(1000÷25) = 33/40
when reduced to the simplest form.
