Converting 15.7588 to a Fraction
Step-by-step explanation of how to convert 15.7588 to a fraction

Result

15.7588 =
39397
2500
Mixed number:
15
1897
2500

Step 1: Identify the number of decimal places

The decimal 15.7588 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.7588 × 10000 = 157588

Step 3: Write as a fraction

15.7588 =

157588
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 157588 and 10000.

GCD(157588, 10000) = 4

Divide both the numerator and denominator by the GCD:

157588
10000

=

157588 ÷ 4
10000 ÷ 4

=

39397
2500
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