Question

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Answer 1

5/7 - 2/6 = 16/42

Choice 4^th

Explanation:

Given equation:

5/7 - []/6 = 16/42

To Find:

The missing numerator

Solution:

Let us assume that the missing numerator is x.

Then the equation will be:

`= > \cfrac{5}{7} - \cfrac{x}{6} = \cfrac{16}{42}`

Solve the equation to get our solution.

`= > \cfrac{5}{7} - \cfrac{1x}{6} = \cfrac{16}{42}`

You'll need to re-write this equation as:

`= > \cfrac{ - 1x}{6} + \cfrac{5}{7} = \cfrac{8}{21}`

Subtract 5/7 from both sides:

`= > \cfrac{ - 1x}{6} + \cfrac{5}{7} - \cfrac{5}{7} = \cfrac{8}{21} - \cfrac{5}{7}`

`= > \cfrac{ - 1}{6} x = \cfrac{ - 1}{3}`

Multiply both sides by 6/-1:

`= > \cfrac{ \cancel{- 1}}{ \cancel6} x * \cfrac{ \cancel6}{ \cancel{- 1}} = \cfrac{ \cancel{- 1}}{ \cancel3} * \cfrac{ \cancel6 {}^(2) }{ \cancel{ - 1} }`

`= > \boxed{ x = 2}`

Hence,

5/7 - 2/6 = 16/42

Choice 4^th

`\rule{225pt}{2pt}`