Convert the following, repeating, decimal to a fraction in simplest form .9333333
To convert the repeating decimal 0.9333333 to a fraction in simplest form, we can set x = 0.9333333.
Multiplying both sides of the equation by 10 will shift the decimal point one place to the right:
10x = 9.3333333
Subtracting the original equation from this new one will eliminate the repeating decimal:
10x - x = 9.3333333 - 0.9333333
9x = 8.4
To isolate x, divide both sides of the equation by 9:
9x/9 = 8.4/9
x = 0.9333333 = 0.933333... = 8.4/9
Therefore, the repeating decimal 0.9333333 is equivalent to the fraction 8.4/9 in simplest form.