Simplify the following :
`(4/5+2)(3-2/3)`.

Answer

To simplify the expression \((4/5 + 2)(3 - 2/3)\), we will follow these steps:

### Step 1: Simplify each bracket separately.

**First Bracket: \(4/5 + 2\)**

To add \(4/5\) and \(2\), we need to convert \(2\) into a fraction with the same denominator as \(4/5\).

- Convert \(2\) into a fraction:
\[ 2 = \frac{2 \times 5}{1 \times 5} = \frac{10}{5} \]

Now we can add the fractions:
\[ \frac{4}{5} + \frac{10}{5} = \frac{4 + 10}{5} = \frac{14}{5} \]

**Second Bracket: \(3 - 2/3\)**

To subtract \(2/3\) from \(3\), we need to convert \(3\) into a fraction with the same denominator as \(2/3\).

- Convert \(3\) into a fraction:
\[ 3 = \frac{3 \times 3}{1 \times 3} = \frac{9}{3} \]

Now we can subtract the fractions:
\[ \frac{9}{3} - \frac{2}{3} = \frac{9 - 2}{3} = \frac{7}{3} \]

### Step 2: Multiply the results from the two brackets.

Now we have:
\[ \left(\frac{14}{5}\right) \left(\frac{7}{3}\right) \]

To multiply these fractions, we multiply the numerators and the denominators:
\[ \frac{14 \times 7}{5 \times 3} = \frac{98}{15} \]

### Final Answer:
The simplified expression is:
\[ \frac{98}{15} \]

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