Final answer:
To solve the equation 1/2x + 2/3x = 5 and find the value of x as an improper fraction, we need to find a common denominator, combine like terms, and isolate x. The value of x as an improper fraction is 30/7.
Step-by-step explanation:
To solve the equation 1/2x + 2/3x = 5, we need to find the value of x.
First, we need to find a common denominator for the fractions. The common denominator for 2 and 3 is 6. So we rewrite the equation as (3/6)x + (4/6)x = 5.
Combining like terms, we get (7/6)x = 5.
To solve for x, we multiply both sides of the equation by the reciprocal of 7/6, which is 6/7. This gives us x = (5)(6/7) = 30/7. Therefore, the value of x as an improper fraction is 30/7.