Question

36/49 = 5/n find n. will mark for whoever answers

Answer 1

n = 245/36

Explanation:

Usually, these are solved in 2 steps:

1. eliminate fractions by multiplying by the LCM of the denominators
2. divide by the coefficient of the variable.

Doing that, we have ...

(49n)(36/49) = (49n)(5/n)

36n = 49·5 = 245 . . . . . simplify

n = 245/36 . . . . . divide by the coefficient of n

_____

Another way to do these is to rewrite the proportion with both sides inverted:

49/36 = n/5

Now, all you need to do is multiply by 5.

n = 5(49/36) = 245/36

__

Or, you can do both of the original steps at the same time:

(49n/36)(36/49) = (49n/36)(5/n)

n = (49·5)/36 = 245/36