Question

Compute: (1+1/6) ÷1/2
. Convert the answer to a mixed number in simplest form.(1 point)
Responses

14/16
Start Fraction 14 over 16 End Fraction

6/14
Start Fraction 6 over 14 End Fraction

7/12
Start Fraction 7 over 12 End Fraction



(2+1/3)

Answer 1

To compute \( (1 + \frac{1}{6}) \div \frac{1}{2} \), let's first simplify \( 1 + \frac{1}{6} \).

1. Convert \( 1 \) to a fraction with a denominator of \( 6 \):
\[
1 = \frac{6}{6}
\]

2. Now add the two fractions:
\[
\frac{6}{6} + \frac{1}{6} = \frac{7}{6}
\]

3. Now we need to divide \( \frac{7}{6} \) by \( \frac{1}{2} \):
\[
\frac{7}{6} \div \frac{1}{2} = \frac{7}{6} \times 2 = \frac{7 \times 2}{6 \times 1} = \frac{14}{6}
\]

4. Simplify \( \frac{14}{6} \):
\[
\frac{14 \div 2}{6 \div 2} = \frac{7}{3}
\]

5. Now, convert \( \frac{7}{3} \) to a mixed number:
\[
7 \div 3 = 2 \text{ remainder } 1
\]
So, \( \frac{7}{3} = 2 \frac{1}{3} \).

Thus, the final answer is \( 2 \frac{1}{3} \). However, this option does not appear in your provided responses.

If required to fit the answer to the provided options, it seems that we need to check the context again or the options provided might be out of context.

In conclusion, the answer to the computation is \( 2 \frac{1}{3} \).