Converting 4.445 to a Fraction
Step-by-step explanation of how to convert 4.445 to a fraction

Result

4.445 =
889
200
Mixed number:
4
89
200

Step 1: Identify the number of decimal places

The decimal 4.445 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.445 × 1000 = 4445

Step 3: Write as a fraction

4.445 =

4445
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4445 and 1000.

GCD(4445, 1000) = 5

Divide both the numerator and denominator by the GCD:

4445
1000

=

4445 ÷ 5
1000 ÷ 5

=

889
200
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