Converting 0.3808 to a Fraction
Step-by-step explanation of how to convert 0.3808 to a fraction

Result

0.3808 =
238
625

Step 1: Identify the number of decimal places

The decimal 0.3808 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.3808 × 10000 = 3808

Step 3: Write as a fraction

0.3808 =

3808
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3808 and 10000.

GCD(3808, 10000) = 16

Divide both the numerator and denominator by the GCD:

3808
10000

=

3808 ÷ 16
10000 ÷ 16

=

238
625
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