Converting 4.8228 to a Fraction
Step-by-step explanation of how to convert 4.8228 to a fraction

Result

4.8228 =
12057
2500
Mixed number:
4
2057
2500

Step 1: Identify the number of decimal places

The decimal 4.8228 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.8228 × 10000 = 48228

Step 3: Write as a fraction

4.8228 =

48228
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 48228 and 10000.

GCD(48228, 10000) = 4

Divide both the numerator and denominator by the GCD:

48228
10000

=

48228 ÷ 4
10000 ÷ 4

=

12057
2500
Related Conversions
Other decimal to fraction conversions you might find useful