Converting 0.3175 to a Fraction
Step-by-step explanation of how to convert 0.3175 to a fraction

Result

0.3175 =
127
400

Step 1: Identify the number of decimal places

The decimal 0.3175 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.3175 × 10000 = 3175

Step 3: Write as a fraction

0.3175 =

3175
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3175 and 10000.

GCD(3175, 10000) = 25

Divide both the numerator and denominator by the GCD:

3175
10000

=

3175 ÷ 25
10000 ÷ 25

=

127
400
Related Conversions
Other decimal to fraction conversions you might find useful