Converting 1.3808 to a Fraction
Step-by-step explanation of how to convert 1.3808 to a fraction

Result

1.3808 =
863
625
Mixed number:
1
238
625

Step 1: Identify the number of decimal places

The decimal 1.3808 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.3808 × 10000 = 13808

Step 3: Write as a fraction

1.3808 =

13808
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13808 and 10000.

GCD(13808, 10000) = 16

Divide both the numerator and denominator by the GCD:

13808
10000

=

13808 ÷ 16
10000 ÷ 16

=

863
625
Related Conversions
Other decimal to fraction conversions you might find useful