Question

n/2 - 3n/4 + 5n/6 = 21. n=​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

n = 36

Step-by-step explanation:

Okay down below is the explanation on how I got the above answer....

$\frac{n}{2} - \frac{3n}{4} + \frac{5n}{6} = 21$

As you can see this equation has denominators. In order to simplify the equation we should remove the denominators by finding the LCM of the denominators. As, the denominators are 2, 4, 6 we must do the prime factorization of these numbers as shown below....

PRIME FACTORIZATION

2 | 2, 4, 6

2 | 1, 2, 3

3 | 1, 1, 3  

   | 1, 1, 1    

2 x 2 x 3 = 12

So, LCM = 12

Now we should multiply every number with 12 as shown below...

12 x $\frac{n}{2} -$ 12 x $\frac{3n}{4} +$ 12 x $\frac{5n}{6} =$ 12 x 21

Now we should simplify as shown below....

6n - 3 x 3n + 2 x 5n = 252

6n - 9n + 10n = 252

Now we should group the like terms but in this equation the like terms are already grouped so we should just simlify...

-3n + 10n = 252

7n = 252

Now we should evaluate...

n =$\frac{252}{7}$

∴n = 36

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