Converting 24.5425 to a Fraction
Step-by-step explanation of how to convert 24.5425 to a fraction

Result

24.5425 =
9817
400
Mixed number:
24
217
400

Step 1: Identify the number of decimal places

The decimal 24.5425 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

24.5425 × 10000 = 245425

Step 3: Write as a fraction

24.5425 =

245425
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 245425 and 10000.

GCD(245425, 10000) = 25

Divide both the numerator and denominator by the GCD:

245425
10000

=

245425 ÷ 25
10000 ÷ 25

=

9817
400
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