The fraction function on calculators

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SUMMARY

The TI-83 Plus calculator features a function called "Frac" that converts decimal numbers into their fractional equivalents. For example, inputting 0.33333... and using the Frac function yields the result of 1/3. This function operates using algorithms that identify repeating decimals and convert them into fractions, similar to manual conversion methods. Understanding the underlying logic of the Frac function can enhance mathematical comprehension and calculator usage.

PREREQUISITES
  • Basic understanding of decimal and fractional representations
  • Familiarity with the TI-83 Plus calculator functions
  • Knowledge of repeating decimals and their properties
  • Introductory algebra concepts
NEXT STEPS
  • Research the algorithms used in calculators for converting decimals to fractions
  • Explore the mathematical theory behind repeating decimals
  • Learn about other functions available on the TI-83 Plus calculator
  • Investigate how different calculators handle decimal to fraction conversions
USEFUL FOR

Students, educators, and anyone interested in enhancing their understanding of calculator functions and mathematical conversions.

MaxManus
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My TI 83 plus has a function called "Frac" which makes decimal numbers into fractions. If I have 0.33333... on the screen and press Frac the calculator returns 1/3. My question is how does this function work.
 
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