Find a value of X

Question

Find a value of x so that 3 1/2 x 1/x +5/(3x) is equal to 1

Answer 1

First combine the mixed fraction.

3 1/2 = 7/2

 

** Assuming 7/2 is multiplied by the whole (1/x + 5/(3x))

 

(7/2)*(1/x + 5/(3x)) = 1

 

Add the fractions together by finding a common denominator.

 

(7/2)*(3/(3x) + 5/(3x)) = 1

 

combine the "x" fractions and divide both sides by (7/2)

 

8/(3x) = 2/7

 

split 8/(3x) = (8/3)(1/x)

 

then divide both sides of equation by 8/3

 

1/x = 6/56

 

now flip both sides over

 

x = 56/6

 

simplify

 

x = 28/3