Converting 12.825 to a Fraction
Step-by-step explanation of how to convert 12.825 to a fraction
Result
12.825 =
513
40
Mixed number:
12
33
40
Step 1: Identify the number of decimal places
The decimal 12.825 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
12.825 × 1000 = 12825
Step 3: Write as a fraction
12.825 =
12825
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 12825 and 1000.
GCD(12825, 1000) = 25
Divide both the numerator and denominator by the GCD:
12825
1000
=
12825 ÷ 25
1000 ÷ 25
=
513
40
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions