Converting 4.6225 to a Fraction
Step-by-step explanation of how to convert 4.6225 to a fraction

Result

4.6225 =
1849
400
Mixed number:
4
249
400

Step 1: Identify the number of decimal places

The decimal 4.6225 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.6225 × 10000 = 46225

Step 3: Write as a fraction

4.6225 =

46225
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 46225 and 10000.

GCD(46225, 10000) = 25

Divide both the numerator and denominator by the GCD:

46225
10000

=

46225 ÷ 25
10000 ÷ 25

=

1849
400
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