Converting 22.345 to a Fraction
Step-by-step explanation of how to convert 22.345 to a fraction
Result
22.345 =
4469
200
Mixed number:
22
69
200
Step 1: Identify the number of decimal places
The decimal 22.345 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
22.345 × 1000 = 22345
Step 3: Write as a fraction
22.345 =
22345
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 22345 and 1000.
GCD(22345, 1000) = 5
Divide both the numerator and denominator by the GCD:
22345
1000
=
22345 ÷ 5
1000 ÷ 5
=
4469
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions