Converting 4.045 to a Fraction
Step-by-step explanation of how to convert 4.045 to a fraction

Result

4.045 =
809
200
Mixed number:
4
9
200

Step 1: Identify the number of decimal places

The decimal 4.045 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.045 × 1000 = 4045

Step 3: Write as a fraction

4.045 =

4045
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4045 and 1000.

GCD(4045, 1000) = 5

Divide both the numerator and denominator by the GCD:

4045
1000

=

4045 ÷ 5
1000 ÷ 5

=

809
200
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