Converting 0.384 to a Fraction
Step-by-step explanation of how to convert 0.384 to a fraction

Result

0.384 =
48
125

Step 1: Identify the number of decimal places

The decimal 0.384 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.384 × 1000 = 384

Step 3: Write as a fraction

0.384 =

384
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 384 and 1000.

GCD(384, 1000) = 8

Divide both the numerator and denominator by the GCD:

384
1000

=

384 ÷ 8
1000 ÷ 8

=

48
125
Related Conversions
Other decimal to fraction conversions you might find useful