Respuesta :

HannahJo
You have to start by adding 4/5 in order to get x alone. When you add 4/5 and 6/13, you have to find the smallest number that both the fractions can have as the same number in the denominator. For this case it is 5 because 13 times two, three, or four won't equal a number that 5 times any whole number can equal. 13 times 5 is 65 and 6 times 5 is 30 so our new fraction is 30/65. For 4/5 we do the same. In order for the bottom number to equal 65, you have to multiple the fraction by 13. 5 times 13 is 65 and 4 times 13 is 52 so our new fraction is 52/65. We now add 52/65 and 30/65 to get 82/65! 
let's do this question with steps..

Step 1 ---> adding [tex] \frac{4}{5} [/tex] on both sides
we get, [tex]X = \frac{6}{13} + \frac{4}{5} [/tex]

Step 2 ---> taking LCM, so our LCM is 65
[tex] X = \frac{6 * 5}{65} + \frac{4 * 13}{65} [/tex]
we multiply 6 *5 and 4 *13 to get the common denominator.

Step 3 ---> making it single term
[tex]X = \frac{30}{65} + \frac{52}{65} [/tex]
[tex]X = \frac{30 + 52}{65} [/tex]
[tex]X = \frac{82}{65} [/tex]

Hope this helps..  :)

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