Work these problems with the techniques you've read about in this chapter so far. Then check your answer by solving them with your calculator. If you have any problem go back and review the information just outlined.
Q. Convert `6(1)/(5)` to fraction. ____________

Answer

To convert the mixed number \(6 \frac{1}{5}\) to an improper fraction, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the components of the mixed number**:
- The whole number part \(A = 6\)
- The numerator \(B = 1\)
- The denominator \(C = 5\)

2. **Multiply the whole number by the denominator**:
\[ A \times C = 6 \times 5 = 30 \]

3. **Add the numerator to the result from step 2**:
\[ 30 + B = 30 + 1 = 31 \]

4. **Write the result over the original denominator**:
\[ \text{Improper fraction} = \frac{31}{C} = \frac{31}{5} \]

Thus, the mixed number \(6 \frac{1}{5}\) can be converted to the improper fraction \(\frac{31}{5}\).

### Final Answer:
\[ 6 \frac{1}{5} = \frac{31}{5} \]

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