Converting 3.5125 to a Fraction
Step-by-step explanation of how to convert 3.5125 to a fraction

Result

3.5125 =
281
80
Mixed number:
3
41
80

Step 1: Identify the number of decimal places

The decimal 3.5125 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.5125 × 10000 = 35125

Step 3: Write as a fraction

3.5125 =

35125
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 35125 and 10000.

GCD(35125, 10000) = 125

Divide both the numerator and denominator by the GCD:

35125
10000

=

35125 ÷ 125
10000 ÷ 125

=

281
80
Related Conversions
Other decimal to fraction conversions you might find useful