Converting 2.3145 to a Fraction
Step-by-step explanation of how to convert 2.3145 to a fraction

Result

2.3145 =
4629
2000
Mixed number:
2
629
2000

Step 1: Identify the number of decimal places

The decimal 2.3145 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.3145 × 10000 = 23145

Step 3: Write as a fraction

2.3145 =

23145
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 23145 and 10000.

GCD(23145, 10000) = 5

Divide both the numerator and denominator by the GCD:

23145
10000

=

23145 ÷ 5
10000 ÷ 5

=

4629
2000
Related Conversions
Other decimal to fraction conversions you might find useful