4. Sean paints $$ \frac{7}{15} $$ of a fence in one hour. He paints $$ \frac{1}{10} $$ of the fence less in the second hour. What fraction of the fence did Sean paint in two hours? Did he finish the job in two hours? no He painted

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Sean paints $$ \frac{7}{15} $$ of the fence in the first hour. In the second hour, he paints $$ \frac{1}{10} $$ less than in the first hour, so he paints

$$
\frac{7}{15} - \frac{1}{10}.
$$

To subtract, we find a common denominator. The least common denominator of 15 and 10 is 30:

$$
\frac{7}{15} = \frac{14}{30} \quad \text{and} \quad \frac{1}{10} = \frac{3}{30}.
$$

Thus, the fraction painted in the second hour is

$$
\frac{14}{30} - \frac{3}{30} = \frac{11}{30}.
$$

Now, the total fraction of the fence painted in two hours is

$$
\frac{7}{15} + \frac{11}{30}.
$$

Again, express $$\frac{7}{15}$$ with denominator 30:

$$
\frac{7}{15} = \frac{14}{30}.
$$

So the total painted is

$$
\frac{14}{30} + \frac{11}{30} = \frac{25}{30} = \frac{5}{6}.
$$

Since $$\frac{5}{6} < 1$$, Sean did not finish painting the fence in two hours.
Sean painted a total of $$ \frac{5}{6} $$ of the fence in two hours and did not finish the job.

Sean paints of a fence in one hour. He paints of the fence less in the second
hour. What fraction of the fence did Sean paint in two hours? Did he finish the job in
two hours? no He painted

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Sean paints of a fence in one hour. He paints of the fence less in the second hour. What fraction of the fence did Sean paint in two hours? Did he finish the job in two hours? no He painted