Converting 2.1345 to a Fraction
Step-by-step explanation of how to convert 2.1345 to a fraction
Result
2.1345 =
4269
2000
Mixed number:
2
269
2000
Step 1: Identify the number of decimal places
The decimal 2.1345 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.1345 × 10000 = 21345
Step 3: Write as a fraction
2.1345 =
21345
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21345 and 10000.
GCD(21345, 10000) = 5
Divide both the numerator and denominator by the GCD:
21345
10000
=
21345 ÷ 5
10000 ÷ 5
=
4269
2000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions