Evaluate the following expressions :
`(1)/(2)+(3)/(4)=`

Answer

To evaluate the expression \( \frac{1}{2} + \frac{3}{4} \), we will follow these steps:

### Step 1: Identify the denominators
The denominators of the fractions are 2 and 4.

### Step 2: Find a common denominator
The least common multiple (LCM) of 2 and 4 is 4. We will convert \( \frac{1}{2} \) to have the same denominator as \( \frac{3}{4} \).

### Step 3: Convert \( \frac{1}{2} \) to a fraction with a denominator of 4
To convert \( \frac{1}{2} \) to a fraction with a denominator of 4, we multiply both the numerator and denominator by 2:

\[ \frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4} \]

### Step 4: Add the fractions
Now we can add the two fractions since they have a common denominator:

\[ \frac{2}{4} + \frac{3}{4} = \frac{2 + 3}{4} = \frac{5}{4} \]

### Step 5: Write the final answer
Thus, the value of \( \frac{1}{2} + \frac{3}{4} \) is:

\[ \frac{5}{4} \]

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