Find the value of :
`(-1)/(8) + (3)/(4)`

Answer

To find the value of \(-\frac{1}{8} + \frac{3}{4}\), we will follow these steps:

### Step 1: Identify the denominators
The denominators in our expression are 8 and 4.

### Step 2: Find the Least Common Multiple (LCM)
To add the fractions, we need a common denominator. The LCM of 8 and 4 is 8.

### Step 3: Convert the fractions to have the same denominator
- The first fraction, \(-\frac{1}{8}\), already has the denominator of 8.
- The second fraction, \(\frac{3}{4}\), needs to be converted. To change the denominator from 4 to 8, we multiply both the numerator and denominator of \(\frac{3}{4}\) by 2:

\[ \frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8} \]

### Step 4: Rewrite the expression with the common denominator
Now we can rewrite the expression as:

\[ -\frac{1}{8} + \frac{6}{8} \]

### Step 5: Combine the fractions
Now that both fractions have the same denominator, we can combine them:

\[ -\frac{1}{8} + \frac{6}{8} = \frac{-1 + 6}{8} = \frac{5}{8} \]

### Final Answer
Thus, the value of \(-\frac{1}{8} + \frac{3}{4}\) is \(\frac{5}{8}\).

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