Converting 47.77808 to a Fraction
Step-by-step explanation of how to convert 47.77808 to a fraction

Result

47.77808 =
298613
6250
Mixed number:
47
4863
6250

Step 1: Identify the number of decimal places

The decimal 47.77808 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

47.77808 × 100000 = 4777808

Step 3: Write as a fraction

47.77808 =

4777808
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4777808 and 100000.

GCD(4777808, 100000) = 16

Divide both the numerator and denominator by the GCD:

4777808
100000

=

4777808 ÷ 16
100000 ÷ 16

=

298613
6250
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