Converting 0.1394 to a Fraction
Step-by-step explanation of how to convert 0.1394 to a fraction

Result

0.1394 =
697
5000

Step 1: Identify the number of decimal places

The decimal 0.1394 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.1394 × 10000 = 1394

Step 3: Write as a fraction

0.1394 =

1394
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1394 and 10000.

GCD(1394, 10000) = 2

Divide both the numerator and denominator by the GCD:

1394
10000

=

1394 ÷ 2
10000 ÷ 2

=

697
5000
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