Converting 15.85792 to a Fraction
Step-by-step explanation of how to convert 15.85792 to a fraction

Result

15.85792 =
49556
3125
Mixed number:
15
2681
3125

Step 1: Identify the number of decimal places

The decimal 15.85792 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

15.85792 × 100000 = 1585792

Step 3: Write as a fraction

15.85792 =

1585792
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1585792 and 100000.

GCD(1585792, 100000) = 32

Divide both the numerator and denominator by the GCD:

1585792
100000

=

1585792 ÷ 32
100000 ÷ 32

=

49556
3125
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