Converting 4.3142 to a Fraction
Step-by-step explanation of how to convert 4.3142 to a fraction

Result

4.3142 =
21571
5000
Mixed number:
4
1571
5000

Step 1: Identify the number of decimal places

The decimal 4.3142 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.3142 × 10000 = 43142

Step 3: Write as a fraction

4.3142 =

43142
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 43142 and 10000.

GCD(43142, 10000) = 2

Divide both the numerator and denominator by the GCD:

43142
10000

=

43142 ÷ 2
10000 ÷ 2

=

21571
5000
Related Conversions
Other decimal to fraction conversions you might find useful