Converting 28.745 to a Fraction
Step-by-step explanation of how to convert 28.745 to a fraction
Result
28.745 =
5749
200
Mixed number:
28
149
200
Step 1: Identify the number of decimal places
The decimal 28.745 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
28.745 × 1000 = 28745
Step 3: Write as a fraction
28.745 =
28745
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 28745 and 1000.
GCD(28745, 1000) = 5
Divide both the numerator and denominator by the GCD:
28745
1000
=
28745 ÷ 5
1000 ÷ 5
=
5749
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions