Two landscapers are working on the front garden of a hotel. In one day, the first landscaper finished 
2/5of the job and the second finished 1/3 of the job. How much of the job is not yet done?

To find out how much of the job is not yet done, we need to determine how much of the job has already been completed by both landscapers and then subtract that from the whole job (which is 1 or 100%).

### Step 1: Add the fractions of the job completed by both landscapers.
- The first landscaper finished \(\frac{2}{5}\) of the job.
- The second landscaper finished \(\frac{1}{3}\) of the job.

### Step 2: Find a common denominator to add the fractions.
The common denominator for 5 and 3 is 15.

\[
\frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15}
\]

\[
\frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}
\]

### Step 3: Add the fractions.
\[
\frac{6}{15} + \frac{5}{15} = \frac{11}{15}
\]

So, together they have completed \(\frac{11}{15}\) of the job.

### Step 4: Subtract the completed work from the whole job.
The entire job is 1 (or \(\frac{15}{15}\)).

\[
1 - \frac{11}{15} = \frac{15}{15} - \frac{11}{15} = \frac{4}{15}
\]

### Final Answer:
\(\frac{4}{15}\) of the job is not yet done.

Would you like more details on any step or have further questions?

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**Here are 8 related questions you might find interesting:**
1. How would the result change if the first landscaper had completed \(\frac{3}{5}\) of the job instead?
2. If a third landscaper completed \(\frac{1}{4}\) of the remaining work, how much would be left to do?
3. What fraction of the job would each landscaper need to complete to finish exactly half of the job together?
4. If the second landscaper had completed \(\frac{2}{3}\) of the job, what fraction would be left?
5. How much work does each landscaper need to do to complete the remaining \(\frac{4}{15}\) of the job?
6. If the first landscaper works twice as fast as the second, how does that affect the total work completed in one day?
7. Can the problem be solved using decimals instead of fractions? If so, how?
8. How much of the job would be completed if each landscaper worked on the job for two days?

**Tip:** When working with fractions, finding a common denominator makes addition and subtraction much easier!

Learn how to calculate the remaining job in landscaping involving fractions. This problem involves adding fractions with different denominators and subtracting from a whole. Suitable for students in Grades 5-6.

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