Converting 0.03728 to a Fraction
Step-by-step explanation of how to convert 0.03728 to a fraction

Result

0.03728 =
233
6250

Step 1: Identify the number of decimal places

The decimal 0.03728 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.03728 × 100000 = 3728

Step 3: Write as a fraction

0.03728 =

3728
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3728 and 100000.

GCD(3728, 100000) = 16

Divide both the numerator and denominator by the GCD:

3728
100000

=

3728 ÷ 16
100000 ÷ 16

=

233
6250
Related Conversions
Other decimal to fraction conversions you might find useful