This is a repeating decimal which can be written as 4.57, and there is a special formula to determine the fraction The repeated piece 57 has a length of 2 Therefore, we setup two equations. Equation 1: x = 4.57 Equation 2: 100x = 102 100x 4.57 → 100x = 100 x 4.57 → 100x = 457 Therefore, we have 100x - x = 457 - 4.57 99x = 457
Divide each side of the equation by 99
What is the Answer?
How does the Repeating Decimal Calculator work?
Evaluates and simplifies a repeating decimal This calculator has 2 inputs.
What 3 formulas are used for the Repeating Decimal Calculator?
For a number n, calculate number of decimal places to the right of the decimal, call this d
What 7 concepts are covered in the Repeating Decimal Calculator?
Number in the form a/b where the result is not a whole number
The bottom portion of a fraction. For a/b, b is the denominator
a statement declaring two mathematical expressions are equal
how many parts of a certain size exist a/b where a is the numerator and b is the denominator
an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.
the number above the line in a common fraction
a decimal fraction in which a figure or group of figures is repeated indefinitely, as in 0.1111
Example calculations for the Repeating Decimal Calculator