0.825 is equivalent to which fraction

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.