Find: c. `5 (7)/(9) xx 6`

Answer

To solve the problem `5 (7/9) x 6`, we will follow these steps:

### Step 1: Convert the mixed number to an improper fraction
The mixed number `5 (7/9)` can be converted to an improper fraction. To do this, we multiply the whole number (5) by the denominator (9) and then add the numerator (7).

\[ 5 \times 9 + 7 = 45 + 7 = 52 \]

So, the improper fraction is:

\[ \frac{52}{9} \]

### Step 2: Multiply the improper fraction by 6
Now we need to multiply the improper fraction \(\frac{52}{9}\) by 6. We can write 6 as a fraction:

\[ 6 = \frac{6}{1} \]

Now we multiply:

\[ \frac{52}{9} \times \frac{6}{1} = \frac{52 \times 6}{9 \times 1} = \frac{312}{9} \]

### Step 3: Simplify the fraction
Next, we simplify \(\frac{312}{9}\). We can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 312 and 9 is 3.

\[ \frac{312 \div 3}{9 \div 3} = \frac{104}{3} \]

### Step 4: Convert the improper fraction to a mixed number
Finally, we convert \(\frac{104}{3}\) back to a mixed number. We divide 104 by 3:

\[ 104 \div 3 = 34 \quad \text{(whole number part)} \]
\[ 104 - (34 \times 3) = 104 - 102 = 2 \quad \text{(remainder)} \]

So, the mixed number is:

\[ 34 \frac{2}{3} \]

### Final Answer
The final product is:

\[ 34 \frac{2}{3} \]

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