Converting 8.9725 to a Fraction
Step-by-step explanation of how to convert 8.9725 to a fraction
Result
8.9725 =
3589
400
Mixed number:
8
389
400
Step 1: Identify the number of decimal places
The decimal 8.9725 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
8.9725 × 10000 = 89725
Step 3: Write as a fraction
8.9725 =
89725
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 89725 and 10000.
GCD(89725, 10000) = 25
Divide both the numerator and denominator by the GCD:
89725
10000
=
89725 ÷ 25
10000 ÷ 25
=
3589
400
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions