Answer:
5/7 - 2/6 = 16/42
Choice 4^th
Step-by-step 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:
[tex] = > \cfrac{5}{7} - \cfrac{x}{6} = \cfrac{16}{42} [/tex]
Solve the equation to get our solution.
[tex] = > \cfrac{5}{7} - \cfrac{1x}{6} = \cfrac{16}{42} [/tex]
You'll need to re-write this equation as:
[tex] = > \cfrac{ - 1x}{6} + \cfrac{5}{7} = \cfrac{8}{21} [/tex]
Subtract 5/7 from both sides:
[tex] = > \cfrac{ - 1x}{6} + \cfrac{5}{7} - \cfrac{5}{7} = \cfrac{8}{21} - \cfrac{5}{7} [/tex]
[tex] = > \cfrac{ - 1}{6} x = \cfrac{ - 1}{3} [/tex]
Multiply both sides by 6/-1:
[tex] = > \cfrac{ \cancel{- 1}}{ \cancel6} x \times \cfrac{ \cancel6}{ \cancel{- 1}} = \cfrac{ \cancel{- 1}}{ \cancel3} \times \cfrac{ \cancel6 {}^{2} }{ \cancel{ - 1} }[/tex]
[tex] = > \boxed{ x = 2}[/tex]
Hence,
5/7 - 2/6 = 16/42
Choice 4^th
[tex] \rule{225pt}{2pt}[/tex]
