Converting 24.7424 to a Fraction
Step-by-step explanation of how to convert 24.7424 to a fraction

Result

24.7424 =
15464
625
Mixed number:
24
464
625

Step 1: Identify the number of decimal places

The decimal 24.7424 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

24.7424 × 10000 = 247424

Step 3: Write as a fraction

24.7424 =

247424
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 247424 and 10000.

GCD(247424, 10000) = 16

Divide both the numerator and denominator by the GCD:

247424
10000

=

247424 ÷ 16
10000 ÷ 16

=

15464
625
Related Conversions
Other decimal to fraction conversions you might find useful