To solve for x, we can start by simplifying the left side of the equation:
8/9 ( x + 1/2) = 32/3
We can distribute the 8/9 to x and 1/2:
(8/9)x + (8/9)(1/2) = 32/3
Simplifying further:
(8/9)x + 4/9 = 32/3
Next, we can subtract 4/9 from both sides of the equation to isolate the x term:
(8/9)x = 32/3 - 4/9
To subtract the fractions, we need a common denominator. The common denominator for 3 and 9 is 9. So, we can rewrite the equation as:
(8/9)x = (32/3)(3/3) - (4/9)(3/3)
Simplifying further:
(8/9)x = 96/9 - 12/9
(8/9)x = 84/9
Now, we can divide both sides of the equation by 8/9 to solve for x:
x = (84/9) / (8/9)
When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction:
x = (84/9)(9/8)
Simplifying further:
x = 84/8
Simplifying the fraction:
x = 10.5
Therefore, x is equal to 10.5.
8/9 ( x + 1/2)= 32/3
Solve for x
3 answers
As a fraction
x = 10.5 can be written as a fraction by expressing 10.5 as a fraction with a denominator of 1:
x = 10.5/1
Simplifying the fraction:
x = 21/2
Therefore, x is equal to 21/2.
x = 10.5/1
Simplifying the fraction:
x = 21/2
Therefore, x is equal to 21/2.