Converting 15.3366 to a Fraction
Step-by-step explanation of how to convert 15.3366 to a fraction

Result

15.3366 =
76683
5000
Mixed number:
15
1683
5000

Step 1: Identify the number of decimal places

The decimal 15.3366 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.3366 × 10000 = 153366

Step 3: Write as a fraction

15.3366 =

153366
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 153366 and 10000.

GCD(153366, 10000) = 2

Divide both the numerator and denominator by the GCD:

153366
10000

=

153366 ÷ 2
10000 ÷ 2

=

76683
5000
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