Answer:
[tex]\frac{81}{250}[/tex]
Step-by-step explanation:
To convert the decimal 0.324 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
[tex]0.324 = \frac{0.324}{1}[/tex]
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,
[tex]\frac{0.324}{1}=\frac{0.324*1000}{1*1000} = \frac{324}{1000}[/tex]
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(324,1000) = 4. So,
[tex]\frac{324/4}{1000/4} =\frac{81}{250}[/tex]
when reduced to the simplest form.
