Change the following numbers to improper fractions.
`3(3)/(4)`

Answer

To convert the mixed number \(3 \frac{3}{4}\) into an improper fraction, follow these steps:

### Step 1: Identify the components of the mixed number
The mixed number consists of a whole number and a fraction. In this case, the whole number is \(3\) and the fraction is \(\frac{3}{4}\).

### Step 2: Convert the whole number to a fraction
To convert the whole number \(3\) into a fraction with the same denominator as the fraction part, we multiply the whole number by the denominator of the fraction:
\[ 3 = \frac{3 \times 4}{4} = \frac{12}{4} \]

### Step 3: Add the fraction to the converted whole number
Now, we add the fraction \(\frac{3}{4}\) to the converted whole number \(\frac{12}{4}\):
\[ \frac{12}{4} + \frac{3}{4} = \frac{12 + 3}{4} = \frac{15}{4} \]

### Step 4: Write the final answer
The improper fraction equivalent of the mixed number \(3 \frac{3}{4}\) is:
\[ \frac{15}{4} \]

### Final Answer:
\(\frac{15}{4}\)

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