Two fifths of the difference between nine and five thirds

To solve this expression, follow the steps below:

### Expression:  
\[
\frac{2}{5} \times \left(9 - \frac{5}{3}\right)
\]

### Step 1: Simplify the inside of the parentheses.
We need to subtract \(\frac{5}{3}\) from 9. Convert 9 into a fraction with a denominator of 3:
\[
9 = \frac{27}{3}
\]
Now subtract:
\[
\frac{27}{3} - \frac{5}{3} = \frac{22}{3}
\]

### Step 2: Multiply by \(\frac{2}{5}\).
Now multiply \(\frac{2}{5}\) by \(\frac{22}{3}\):
\[
\frac{2}{5} \times \frac{22}{3} = \frac{44}{15}
\]

### Final answer:
The result is \(\frac{44}{15}\).

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. What is three-fourths of the sum of 7 and \(\frac{8}{3}\)?
2. Simplify \(\frac{3}{4} \times (10 - \frac{7}{2})\).
3. What is the difference between \(\frac{9}{2}\) and \(\frac{5}{6}\)?
4. How do you multiply two fractions?
5. What is the product of \(\frac{3}{7}\) and \(\frac{14}{5}\)?

**Tip**: When subtracting fractions, always ensure they have a common denominator before proceeding.

Learn how to find two fifths of the difference between 9 and 5/3 using fraction subtraction and multiplication. This step-by-step solution simplifies complex fractions and provides an answer of 44/15, suitable for students in Grades 6-8.

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