Converting 18.7808 to a Fraction
Step-by-step explanation of how to convert 18.7808 to a fraction

Result

18.7808 =
11738
625
Mixed number:
18
488
625

Step 1: Identify the number of decimal places

The decimal 18.7808 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

18.7808 × 10000 = 187808

Step 3: Write as a fraction

18.7808 =

187808
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 187808 and 10000.

GCD(187808, 10000) = 16

Divide both the numerator and denominator by the GCD:

187808
10000

=

187808 ÷ 16
10000 ÷ 16

=

11738
625
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