Converting 24.5675 to a Fraction
Step-by-step explanation of how to convert 24.5675 to a fraction

Result

24.5675 =
9827
400
Mixed number:
24
227
400

Step 1: Identify the number of decimal places

The decimal 24.5675 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

24.5675 × 10000 = 245675

Step 3: Write as a fraction

24.5675 =

245675
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 245675 and 10000.

GCD(245675, 10000) = 25

Divide both the numerator and denominator by the GCD:

245675
10000

=

245675 ÷ 25
10000 ÷ 25

=

9827
400
Related Conversions
Other decimal to fraction conversions you might find useful