Converting 4.3145 to a Fraction
Step-by-step explanation of how to convert 4.3145 to a fraction

Result

4.3145 =
8629
2000
Mixed number:
4
629
2000

Step 1: Identify the number of decimal places

The decimal 4.3145 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.3145 × 10000 = 43145

Step 3: Write as a fraction

4.3145 =

43145
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 43145 and 10000.

GCD(43145, 10000) = 5

Divide both the numerator and denominator by the GCD:

43145
10000

=

43145 ÷ 5
10000 ÷ 5

=

8629
2000
Related Conversions
Other decimal to fraction conversions you might find useful