Compute: (1+16) ÷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)

1 answer

To compute \( (1 + 16) ÷ \frac{1}{2} \), we start with the following steps:

  1. First, calculate \( 1 + 16 \): \[ 1 + 16 = 17 \]

  2. Then, we need to divide \( 17 \) by \( \frac{1}{2} \). Dividing by a fraction is the same as multiplying by its reciprocal, so we can rewrite the expression: \[ 17 ÷ \frac{1}{2} = 17 \times 2 = 34 \]

Now, we have our final answer: \( 34 \).

Next, we will convert \( 34 \) into a mixed number. Since \( 34 \) is a whole number and does not have a fractional part, it can be expressed simply as: \[ 34 = 34 \frac{0}{1} \] or just \( 34 \) without the fractional part.

None of the provided responses correspond to this answer (34).

However, if you wanted to sum it with \( (2 + \frac{1}{3}) \):

  1. Convert \( 2 \) to a fraction: \[ 2 = \frac{6}{3} \]

  2. Add the two fractions: \[ \frac{6}{3} + \frac{1}{3} = \frac{6 + 1}{3} = \frac{7}{3} \]

  3. Convert \( \frac{7}{3} \) to a mixed number: \[ \frac{7}{3} = 2 \frac{1}{3} \]

Therefore, the computed result from the given operation is \( 34 \), and when adding the mixed number \( 2 \frac{1}{3} \), the total is \( 34 + 2 \frac{1}{3} \) which provides: \[ 34 + 2 \frac{1}{3} = 36 \frac{1}{3} \]

But if we focus just on the initial operation \( (1 + 16) ÷ \frac{1}{2} \), the answer is 34.