Answer:
x = 2 1/6
Explanation:
6 1/4 (x− 2/3 )=9 3/8
Change the mixed numbers to improper fractions
6 1/4 = (4*6+1) / 4 = 25/4
9 3/8 = (8*9 +3) /8 = 75/8
25/4 (x-2/3) = 75/8
Multiply each side by 4/25
4/25*25/4 (x-2/3) = 75/8 *4/25
x-2/3 = 75/25 *4/8
x-2/3 = 3 *1/2
x-2/3 = 3/2
Add 2/3 to each side
x-2/3 +2/3 = 3/2 +2/3
x= 3/2 +2/3
Get a common denominator of 6
x = 3/2 *3/3 + 2/3 *2/2
x = 9/6 + 4/6
x = 13/6
6 goes into 13 2 times with 1 left over
x = 2 1/6