To solve this equation, we first need to convert the mixed numbers to improper fractions:
2 1/3 = 7/34 1/2 = 9/21 1/9 = 10/9
Now we can rewrite the equation:
2 1/3 k = 4 1/2 1 1/97/3 k = 9/2 10/9
Next, multiply the fractions on the right side of the equation:
7/3 k = (9/2) * (10/9)7/3 k = 90/187/3 k = 5
Finally, solve for k by multiplying both sides by 3/7:
k = (5)(3/7)k = 15/7
Therefore, the solution to the equation is k = 15/7 or approximately 2.142857.
To solve this equation, we first need to convert the mixed numbers to improper fractions:
2 1/3 = 7/3
4 1/2 = 9/2
1 1/9 = 10/9
Now we can rewrite the equation:
2 1/3 k = 4 1/2 1 1/9
7/3 k = 9/2 10/9
Next, multiply the fractions on the right side of the equation:
7/3 k = (9/2) * (10/9)
7/3 k = 90/18
7/3 k = 5
Finally, solve for k by multiplying both sides by 3/7:
k = (5)(3/7)
k = 15/7
Therefore, the solution to the equation is k = 15/7 or approximately 2.142857.