Question

Write a multiplication equation and a subtraction equation that both involve a fraction and have the same solution. Solve your equation to show that the solution are the same.

Answer 1

`x = (3)/(5) * (5)/(7)` and
`y = (16)/(21) - (1)/(3)`

Explanation:

We have to write a multiplication equation and a subtraction equation that both involve a fraction and have the same solution.

Let the multiplication equation be,
`x = (3)/(5) * (5)/(7)`.

And the subtraction equation is,
`y = (16)/(21) - (1)/(3)`

Now,
`x = (3)/(5) * (5)/(7) = (3)/(7)` and
`y = (16)/(21) - (1)/(3) = (16 - 7)/(21) = (9)/(21) = (3)/(7)`

Therefore, in both the equations the solution is
`(3)/(7)`. (Answer)