Converting 3.5875 to a Fraction
Step-by-step explanation of how to convert 3.5875 to a fraction

Result

3.5875 =
287
80
Mixed number:
3
47
80

Step 1: Identify the number of decimal places

The decimal 3.5875 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.5875 × 10000 = 35875

Step 3: Write as a fraction

3.5875 =

35875
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 35875 and 10000.

GCD(35875, 10000) = 125

Divide both the numerator and denominator by the GCD:

35875
10000

=

35875 ÷ 125
10000 ÷ 125

=

287
80
Related Conversions
Other decimal to fraction conversions you might find useful