Answer: 380 / 99
Explanation:
1) Given decimal number: 3.8383...
2) Call the fraction x
x = 3.8383...
3) Multiply both sides by 100
100x = 383.8383...
4) Subtract the first expression from the second one:
100x - x = (383.8383...) - (3.8383...)
99x = 383 - 3
99x = 380
x = 380 / 99
3) You can check the result dividing 380 ÷ 99, which is 3.8383...
