Find the difference:
`12(15)/(16)-7(3)/(4)`

Answer

To find the difference \( \frac{12 \times 15}{16} - \frac{7 \times 3}{4} \), we will follow these steps:

### Step 1: Calculate the individual fractions
First, we need to calculate \( \frac{12 \times 15}{16} \) and \( \frac{7 \times 3}{4} \).

1. **Calculate \( 12 \times 15 \)**:
\[ 12 \times 15 = 180 \]
So, \( \frac{12 \times 15}{16} = \frac{180}{16} \).

2. **Calculate \( 7 \times 3 \)**:
\[ 7 \times 3 = 21 \]
So, \( \frac{7 \times 3}{4} = \frac{21}{4} \).

### Step 2: Rewrite the fractions
Now we have:
\[ \frac{180}{16} - \frac{21}{4} \]

### Step 3: Find a common denominator
The denominators are 16 and 4. The least common multiple (LCM) of 16 and 4 is 16. We will convert \( \frac{21}{4} \) to have a denominator of 16.

To convert \( \frac{21}{4} \):
\[ \frac{21}{4} = \frac{21 \times 4}{4 \times 4} = \frac{84}{16} \]

### Step 4: Subtract the fractions
Now we can subtract:
\[ \frac{180}{16} - \frac{84}{16} = \frac{180 - 84}{16} = \frac{96}{16} \]

### Step 5: Simplify the result
Now we simplify \( \frac{96}{16} \):
\[ \frac{96}{16} = 6 \]

### Final Answer
The difference \( \frac{12 \times 15}{16} - \frac{7 \times 3}{4} \) is \( 6 \).

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