Find the difference:
`9/(12)-5/(16)`

Answer

To find the difference \( \frac{9}{12} - \frac{5}{16} \), we will follow these steps:

### Step 1: Simplify \( \frac{9}{12} \)
First, we simplify \( \frac{9}{12} \) to its simplest form.

- The greatest common divisor (GCD) of 9 and 12 is 3.
- We divide both the numerator and the denominator by 3:

\[ \frac{9 \div 3}{12 \div 3} = \frac{3}{4} \]

### Step 2: Rewrite the expression
Now we can rewrite the original expression using the simplified fraction:

\[ \frac{3}{4} - \frac{5}{16} \]

### Step 3: Find a common denominator
Next, we need to find a common denominator for the fractions \( \frac{3}{4} \) and \( \frac{5}{16} \).

- The denominators are 4 and 16. The least common multiple (LCM) of 4 and 16 is 16.

### Step 4: Convert \( \frac{3}{4} \) to have the common denominator
We convert \( \frac{3}{4} \) to have a denominator of 16:

\[ \frac{3}{4} = \frac{3 \times 4}{4 \times 4} = \frac{12}{16} \]

### Step 5: Subtract the fractions
Now we can subtract the two fractions:

\[ \frac{12}{16} - \frac{5}{16} = \frac{12 - 5}{16} = \frac{7}{16} \]

### Final Answer
Thus, the difference \( \frac{9}{12} - \frac{5}{16} \) is:

\[ \frac{7}{16} \]

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