Answer:
n = 245/36
Step-by-step explanation:
Usually, these are solved in 2 steps:
- eliminate fractions by multiplying by the LCM of the denominators
- 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
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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
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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
