Frações e decimais com gráfico

The app converts a decimal (less than 1) to its next simplest fraction. A pie chart graphically depicts the resulting fraction. Enter the decimal you want to convert and press “Compute Fraction”. Note that the leading “0” has already been entered for you. A major difference between fractions and decimals is that fractions tend to be simple expressions of whole number ratios. They don't always break down to an easy-to-express decimal. For example, when divided, 1/3 becomes a repeating decimal of 0.33333. As this algorithm takes processing time, we have to terminate it after a while when we decide the guess is good enough. This can add a small additional discrepancy between the decimal and its fractional equivalent. The bottom line of text in this app shows the percentage error (mostly very small) between the decimal entered and the fraction the program generated (when recalculated as a decimal, dividing the numerator by the denominator). [% error = (decimal - decimal calculated from fractional equivalent)/decimal] (Due to the limited number of iterations, you may find that decimal entries close to 0 or 1 may yield inaccurate results.) The main objective when developing the application was to allow math students to “play” with conversions to arrive at an intuitive conception of the relationship between decimals and fractions.