How do you write inequivalent decimal as a fraction?

Answer 1

This all depends on what value is given for the problem. If the decimal numbers are continuous and repetitive, like 3.3333....., then you need to set a variable and work out with the computation. For instance:

Let s = 3.333.... and 10s = 3.3333... Then,

10s - s = 3.333... - 0.333..

9s = 3

s = 3/9

s = 1/3

Note that this method doesn't work for all decimal values, such as the Irrational Numbers. For instance, there is no way to write π in fractional form. 22/7 is the approximation of π, but it's not actually the value of π. We say that we convert a decimal number to a fraction if that number is rational. A rational number is a quotient of two integers, such that the denominator integer is not zero.