Converting 4.2135 to a Fraction
Step-by-step explanation of how to convert 4.2135 to a fraction

Result

4.2135 =
8427
2000
Mixed number:
4
427
2000

Step 1: Identify the number of decimal places

The decimal 4.2135 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.2135 × 10000 = 42135

Step 3: Write as a fraction

4.2135 =

42135
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 42135 and 10000.

GCD(42135, 10000) = 5

Divide both the numerator and denominator by the GCD:

42135
10000

=

42135 ÷ 5
10000 ÷ 5

=

8427
2000
Related Conversions
Other decimal to fraction conversions you might find useful