https://file.aiquickdraw.com/mathbot/file/1727456250828xhh2zd3v.jpg

The problem in the image states:

- \( \frac{1}{3} \) of Ibrahim's salary is spent on clothing,
- \( \frac{2}{5} \) on food, and
- \( \frac{1}{10} \) on transportation.

We need to find what part of Ibrahim's salary is left for other expenditures and savings. The total amount spent is the sum of these fractions, and we subtract this sum from 1 (his full salary).

Let's calculate it step by step:

\[
\text{Total spent} = \frac{1}{3} + \frac{2}{5} + \frac{1}{10}
\]

To add these fractions, we need a common denominator. The least common denominator (LCD) for 3, 5, and 10 is 30.

Convert the fractions:
\[
\frac{1}{3} = \frac{10}{30}, \quad \frac{2}{5} = \frac{12}{30}, \quad \frac{1}{10} = \frac{3}{30}
\]

Now, add them up:
\[
\text{Total spent} = \frac{10}{30} + \frac{12}{30} + \frac{3}{30} = \frac{25}{30}
\]

The remaining part of the salary is:
\[
1 - \frac{25}{30} = \frac{30}{30} - \frac{25}{30} = \frac{5}{30} = \frac{1}{6}
\]

Therefore, the part of Ibrahim's salary left for other expenditures and savings is \( \frac{1}{6} \).

The correct answer is \( \boxed{a} \).

Do you need more details on this? Here are some related questions to consider:
1. How do you find the least common denominator (LCD)?
2. What is the general rule for subtracting fractions from 1?
3. How do you convert improper fractions to mixed numbers?
4. What are some real-life examples of budgeting using fractions?
5. What if the total amount spent was more than the salary?

**Tip:** Always ensure fractions are reduced to their simplest form to avoid unnecessary complexity in calculations.

Of Ibrahim's salary, 1/3 is spent for clothing, 2/5 for food, and 1/10 for transportation. What part of Ibrahim's salary is left for other expenditures and savings?

Learn how to calculate what part of a salary is left after spending fractions on different expenses. This problem involves adding fractions and subtracting from 1, ideal for Grade 6-8 students.

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