Converting 15.6894 to a Fraction
Step-by-step explanation of how to convert 15.6894 to a fraction

Result

15.6894 =
78447
5000
Mixed number:
15
3447
5000

Step 1: Identify the number of decimal places

The decimal 15.6894 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.6894 × 10000 = 156894

Step 3: Write as a fraction

15.6894 =

156894
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 156894 and 10000.

GCD(156894, 10000) = 2

Divide both the numerator and denominator by the GCD:

156894
10000

=

156894 ÷ 2
10000 ÷ 2

=

78447
5000
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