Question

1/2 ÷ (-1/7) Answer in a mixed number

Answer 1

`\sf{-3\displaystyle(1)/(2) }`

Solution:

• First, we need to flop the second fraction over.
• Then, we need to multiply the first fraction times the second fraction.
• In order to multiply fractions, we need to multiply the numerator of the first fraction times the numerator of the second fraction:
• 
  `\displaystyle(1)/(2) *-(7)/(1)`
• 
  `-\displaystyle(7)/(2)`
• Now, let's convert the improper fraction into a mixed number.
• First, how many times does 2 go into 7? (evenly)
• The answer is 3.
• Now, multiply 3 times 2. We get 6.
• Subtract 7-6. We get 1.
• The denominator stays the same.
• Therefore, the answer is
• 
  `-3\displaystyle(1)/(2)`

Hope it helps.

Do comment if you have any query.

Answer 2

Explanation:

`= (1)/(2) / ( - \frac { 1}{7}) \\`

Move the ( - ) sign forward

`= - (1)/(2) / (1)/(7) \\`

`= - (1)/(2) * (7)/(1) \\`

`= - (7)/(2) \\`