Converting 4.7225 to a Fraction
Step-by-step explanation of how to convert 4.7225 to a fraction

Result

4.7225 =
1889
400
Mixed number:
4
289
400

Step 1: Identify the number of decimal places

The decimal 4.7225 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.7225 × 10000 = 47225

Step 3: Write as a fraction

4.7225 =

47225
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47225 and 10000.

GCD(47225, 10000) = 25

Divide both the numerator and denominator by the GCD:

47225
10000

=

47225 ÷ 25
10000 ÷ 25

=

1889
400
Related Conversions
Other decimal to fraction conversions you might find useful