Converting 47.61424 to a Fraction
Step-by-step explanation of how to convert 47.61424 to a fraction

Result

47.61424 =
297589
6250
Mixed number:
47
3839
6250

Step 1: Identify the number of decimal places

The decimal 47.61424 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

47.61424 × 100000 = 4761424

Step 3: Write as a fraction

47.61424 =

4761424
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4761424 and 100000.

GCD(4761424, 100000) = 16

Divide both the numerator and denominator by the GCD:

4761424
100000

=

4761424 ÷ 16
100000 ÷ 16

=

297589
6250
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