Converting 3.1175 to a Fraction
Step-by-step explanation of how to convert 3.1175 to a fraction

Result

3.1175 =
1247
400
Mixed number:
3
47
400

Step 1: Identify the number of decimal places

The decimal 3.1175 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1175 × 10000 = 31175

Step 3: Write as a fraction

3.1175 =

31175
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31175 and 10000.

GCD(31175, 10000) = 25

Divide both the numerator and denominator by the GCD:

31175
10000

=

31175 ÷ 25
10000 ÷ 25

=

1247
400
Related Conversions
Other decimal to fraction conversions you might find useful