Converting 23.7824 to a Fraction
Step-by-step explanation of how to convert 23.7824 to a fraction
Result
23.7824 =
14864
625
Mixed number:
23
489
625
Step 1: Identify the number of decimal places
The decimal 23.7824 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
23.7824 × 10000 = 237824
Step 3: Write as a fraction
23.7824 =
237824
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 237824 and 10000.
GCD(237824, 10000) = 16
Divide both the numerator and denominator by the GCD:
237824
10000
=
237824 ÷ 16
10000 ÷ 16
=
14864
625
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions