Converting 3.145 to a Fraction
Step-by-step explanation of how to convert 3.145 to a fraction

Result

3.145 =
629
200
Mixed number:
3
29
200

Step 1: Identify the number of decimal places

The decimal 3.145 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.145 × 1000 = 3145

Step 3: Write as a fraction

3.145 =

3145
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3145 and 1000.

GCD(3145, 1000) = 5

Divide both the numerator and denominator by the GCD:

3145
1000

=

3145 ÷ 5
1000 ÷ 5

=

629
200
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