Answer:
[tex]\frac{11}{15}[/tex]
Step-by-step explanation:
To express the decimal 0.73333333333 as a simplified fraction, you can follow these steps:
1. Let x = 0.73333333333
2. Multiply both sides of the equation by 10 (to move the decimal point one place to the right):
10x = 7.3333333333
3. Subtract the original equation from the new equation to eliminate the repeating decimal:
10x - x = 7.3333333333 - 0.73333333333
9x = 6.6
4. Divide both sides by 9 to isolate x:
x = 6.6/9
Now, you can simplify the fraction 6.6/9 by dividing both the numerator and denominator by their greatest common divisor, which is 0.6:
6.6/9 = 6.6 ÷ 0.6 / 9 ÷ 0.6 = 11/15
So, 0.73333333333 as a simplified fraction is 11/15.
