Converting 3.2024 to a Fraction
Step-by-step explanation of how to convert 3.2024 to a fraction

Result

3.2024 =
4003
1250
Mixed number:
3
253
1250

Step 1: Identify the number of decimal places

The decimal 3.2024 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.2024 × 10000 = 32024

Step 3: Write as a fraction

3.2024 =

32024
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 32024 and 10000.

GCD(32024, 10000) = 8

Divide both the numerator and denominator by the GCD:

32024
10000

=

32024 ÷ 8
10000 ÷ 8

=

4003
1250
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