Find the value of :
`(-4/5) + (2)/(3)`

Answer

To find the value of \((-4/5) + (2/3)\), we will follow these steps:

### Step 1: Identify the denominators
The denominators of the fractions are 5 and 3.

### Step 2: Find the Least Common Multiple (LCM)
We need to find the LCM of 5 and 3 to make the denominators the same. The LCM of 5 and 3 is 15.

### Step 3: Convert the fractions to have the same denominator
Now, we will convert each fraction to have a denominator of 15.

- For \(-4/5\):
\[ -4/5 = (-4 \times 3)/(5 \times 3) = -12/15 \]

- For \(2/3\):
\[ 2/3 = (2 \times 5)/(3 \times 5) = 10/15 \]

### Step 4: Add the fractions
Now that both fractions have the same denominator, we can add them:
\[ (-12/15) + (10/15) = (-12 + 10)/15 = -2/15 \]

### Final Answer
The value of \((-4/5) + (2/3)\) is \(-2/15\).

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