Converting 24.3125 to a Fraction
Step-by-step explanation of how to convert 24.3125 to a fraction
Result
24.3125 =
389
16
Mixed number:
24
5
16
Step 1: Identify the number of decimal places
The decimal 24.3125 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
24.3125 × 10000 = 243125
Step 3: Write as a fraction
24.3125 =
243125
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 243125 and 10000.
GCD(243125, 10000) = 625
Divide both the numerator and denominator by the GCD:
243125
10000
=
243125 ÷ 625
10000 ÷ 625
=
389
16
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions