Converting 2.345 to a Fraction
Step-by-step explanation of how to convert 2.345 to a fraction
Result
2.345 =
469
200
Mixed number:
2
69
200
Step 1: Identify the number of decimal places
The decimal 2.345 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
2.345 × 1000 = 2345
Step 3: Write as a fraction
2.345 =
2345
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2345 and 1000.
GCD(2345, 1000) = 5
Divide both the numerator and denominator by the GCD:
2345
1000
=
2345 ÷ 5
1000 ÷ 5
=
469
200
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