Converting 47.989824 to a Fraction
Step-by-step explanation of how to convert 47.989824 to a fraction
Result
47.989824 =
749841
15625
Mixed number:
47
15466
15625
Step 1: Identify the number of decimal places
The decimal 47.989824 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
47.989824 × 1000000 = 47989824
Step 3: Write as a fraction
47.989824 =
47989824
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 47989824 and 1000000.
GCD(47989824, 1000000) = 64
Divide both the numerator and denominator by the GCD:
47989824
1000000
=
47989824 ÷ 64
1000000 ÷ 64
=
749841
15625
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions