Converting 0.387384 to a Fraction
Step-by-step explanation of how to convert 0.387384 to a fraction

Result

0.387384 =
48423
125000

Step 1: Identify the number of decimal places

The decimal 0.387384 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.387384 × 1000000 = 387384

Step 3: Write as a fraction

0.387384 =

387384
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 387384 and 1000000.

GCD(387384, 1000000) = 8

Divide both the numerator and denominator by the GCD:

387384
1000000

=

387384 ÷ 8
1000000 ÷ 8

=

48423
125000
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