Converting 4.2235 to a Fraction
Step-by-step explanation of how to convert 4.2235 to a fraction

Result

4.2235 =
8447
2000
Mixed number:
4
447
2000

Step 1: Identify the number of decimal places

The decimal 4.2235 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.2235 × 10000 = 42235

Step 3: Write as a fraction

4.2235 =

42235
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 42235 and 10000.

GCD(42235, 10000) = 5

Divide both the numerator and denominator by the GCD:

42235
10000

=

42235 ÷ 5
10000 ÷ 5

=

8447
2000
Related Conversions
Other decimal to fraction conversions you might find useful