Converting 3.90625 to a Fraction
Step-by-step explanation of how to convert 3.90625 to a fraction

Result

3.90625 =
125
32
Mixed number:
3
29
32

Step 1: Identify the number of decimal places

The decimal 3.90625 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.90625 × 100000 = 390625

Step 3: Write as a fraction

3.90625 =

390625
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 390625 and 100000.

GCD(390625, 100000) = 3125

Divide both the numerator and denominator by the GCD:

390625
100000

=

390625 ÷ 3125
100000 ÷ 3125

=

125
32
Related Conversions
Other decimal to fraction conversions you might find useful