Converting 24.6875 to a Fraction
Step-by-step explanation of how to convert 24.6875 to a fraction
Result
24.6875 =
395
16
Mixed number:
24
11
16
Step 1: Identify the number of decimal places
The decimal 24.6875 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
24.6875 × 10000 = 246875
Step 3: Write as a fraction
24.6875 =
246875
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 246875 and 10000.
GCD(246875, 10000) = 625
Divide both the numerator and denominator by the GCD:
246875
10000
=
246875 ÷ 625
10000 ÷ 625
=
395
16
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions