Converting 15.89148 to a Fraction
Step-by-step explanation of how to convert 15.89148 to a fraction

Result

15.89148 =
397287
25000
Mixed number:
15
22287
25000

Step 1: Identify the number of decimal places

The decimal 15.89148 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

15.89148 × 100000 = 1589148

Step 3: Write as a fraction

15.89148 =

1589148
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1589148 and 100000.

GCD(1589148, 100000) = 4

Divide both the numerator and denominator by the GCD:

1589148
100000

=

1589148 ÷ 4
100000 ÷ 4

=

397287
25000
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