Converting 47.8588 to a Fraction
Step-by-step explanation of how to convert 47.8588 to a fraction

Result

47.8588 =
119647
2500
Mixed number:
47
2147
2500

Step 1: Identify the number of decimal places

The decimal 47.8588 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

47.8588 × 10000 = 478588

Step 3: Write as a fraction

47.8588 =

478588
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 478588 and 10000.

GCD(478588, 10000) = 4

Divide both the numerator and denominator by the GCD:

478588
10000

=

478588 ÷ 4
10000 ÷ 4

=

119647
2500
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