Converting 15.40332 to a Fraction
Step-by-step explanation of how to convert 15.40332 to a fraction

Result

15.40332 =
385083
25000
Mixed number:
15
10083
25000

Step 1: Identify the number of decimal places

The decimal 15.40332 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

15.40332 × 100000 = 1540332

Step 3: Write as a fraction

15.40332 =

1540332
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1540332 and 100000.

GCD(1540332, 100000) = 4

Divide both the numerator and denominator by the GCD:

1540332
100000

=

1540332 ÷ 4
100000 ÷ 4

=

385083
25000
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