What will come in place of the question-mark (2) in the following questions?
`3/8 + 7/8 -5/12 =?`

Options

A. `3/5`
B. `7/6`
C. `5/6`
D. `5/7`

Answer

To solve the equation \( \frac{3}{8} + \frac{7}{8} - \frac{5}{12} = ? \), we will follow these steps:

### Step 1: Add the fractions with the same denominator
First, we add \( \frac{3}{8} \) and \( \frac{7}{8} \):
\[ \frac{3}{8} + \frac{7}{8} = \frac{3 + 7}{8} = \frac{10}{8} \]

### Step 2: Simplify the result
Next, we can simplify \( \frac{10}{8} \):
\[ \frac{10}{8} = \frac{5}{4} \quad \text{(dividing both numerator and denominator by 2)} \]

### Step 3: Find a common denominator for subtraction
Now, we need to subtract \( \frac{5}{12} \) from \( \frac{5}{4} \). To do this, we need a common denominator. The denominators are 4 and 12. The least common multiple (LCM) of 4 and 12 is 12.

### Step 4: Convert \( \frac{5}{4} \) to have a denominator of 12
We convert \( \frac{5}{4} \) to a fraction with a denominator of 12:
\[ \frac{5}{4} = \frac{5 \times 3}{4 \times 3} = \frac{15}{12} \]

### Step 5: Perform the subtraction
Now we can subtract \( \frac{5}{12} \) from \( \frac{15}{12} \):
\[ \frac{15}{12} - \frac{5}{12} = \frac{15 - 5}{12} = \frac{10}{12} \]

### Step 6: Simplify the final result
Finally, we simplify \( \frac{10}{12} \):
\[ \frac{10}{12} = \frac{5}{6} \quad \text{(dividing both numerator and denominator by 2)} \]

Thus, the answer is:
\[ \frac{5}{6} \]