Answer:
x = 56
Step-by-step explanation:
To start, distribute the 1/3 onto the x and the 4 in the parenthesis. That leaves you with
1/3x + 4/3 = 20
We want the x value by itself so we're going to subtract the 4/3 from the left and the right side, leaving us with
1/3x + 4/3 = 20 - 4/3
1/3x = 18 & 2/3 (since we're dealing with fractions, I'm going to change the 18 & 2/3 into an improper fraction just to make the next step easier.)
1/3x = 56/3
The last step is to divide the 1/3 off of the x, so x is by itself. To divide a fraction by a fraction, just flip the fraction you're dividing with and multiply.
56/3 x 3/1 = 56 (56 x 3 is 168, and 3 x 1 is 3, so when you reduce 168/3, you get 56)
So, 56 is our answer, because after dividing off the 1/3, we're left with x = 56
Answer:
the mixed number is 2 1/4 and improper fraction is 9/4
