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

Mathematics

1 answer:

Crazy boy [7]3 years ago

5 0

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

_____

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

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