Converting 4.4725 to a Fraction
Step-by-step explanation of how to convert 4.4725 to a fraction

Result

4.4725 =
1789
400
Mixed number:
4
189
400

Step 1: Identify the number of decimal places

The decimal 4.4725 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.4725 × 10000 = 44725

Step 3: Write as a fraction

4.4725 =

44725
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 44725 and 10000.

GCD(44725, 10000) = 25

Divide both the numerator and denominator by the GCD:

44725
10000

=

44725 ÷ 25
10000 ÷ 25

=

1789
400
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