Try converting the following mixed numbers to fractions.
Q. `5(4)/(9)`

Answer

To convert the mixed number \( 5 \frac{4}{9} \) into an improper fraction, we can follow these steps:

### Step 1: Identify the components of the mixed number
The mixed number \( 5 \frac{4}{9} \) consists of:
- Whole number part: \( 5 \)
- Numerator of the fractional part: \( 4 \)
- Denominator of the fractional part: \( 9 \)

### Step 2: Convert the whole number to a fraction
To convert the whole number \( 5 \) into a fraction, we can express it as:
\[ 5 = \frac{5 \times 9}{9} = \frac{45}{9} \]

### Step 3: Add the fractional part
Now, we add the fractional part \( \frac{4}{9} \) to the fraction we obtained from the whole number:
\[ \frac{45}{9} + \frac{4}{9} = \frac{45 + 4}{9} = \frac{49}{9} \]

### Step 4: Write the final answer
Thus, the mixed number \( 5 \frac{4}{9} \) as an improper fraction is:
\[ \frac{49}{9} \]

### Summary of the solution:
The mixed number \( 5 \frac{4}{9} \) converts to the improper fraction \( \frac{49}{9} \).

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