Converting 2.024 to a Fraction
Step-by-step explanation of how to convert 2.024 to a fraction

Result

2.024 =
253
125
Mixed number:
2
3
125

Step 1: Identify the number of decimal places

The decimal 2.024 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

2.024 × 1000 = 2024

Step 3: Write as a fraction

2.024 =

2024
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2024 and 1000.

GCD(2024, 1000) = 8

Divide both the numerator and denominator by the GCD:

2024
1000

=

2024 ÷ 8
1000 ÷ 8

=

253
125
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