((x + 2)/5) + ((3x - 4)/10)
Is the answer 5x?
x=4
How did you get that?
((x + 2)/5) + ((3x - 4)/10)
2(x + 2)/10 + (3x - 4)/10
(2x+4 + 3x-4)/10
5x/10
x/2
I think you forgot to divide by 10 at the end.
To simplify the expression ((x + 2)/5) + ((3x - 4)/10), we need to find a common denominator for the fractions. In this case, the lowest common denominator is 10.
To add fractions with different denominators, we need to ensure that both fractions have the same denominator. We can do this by multiplying each fraction by the necessary factors to obtain the common denominator.
For the first fraction, ((x + 2)/5), we multiply both the numerator and denominator by 2 to get ((2x + 4)/10).
For the second fraction, ((3x - 4)/10), we do not need to make any changes since it already has a denominator of 10.
Now that both fractions have the same denominator, we can add them together:
((2x + 4)/10) + ((3x - 4)/10)
Combining the numerators, we get:
(2x + 4 + 3x - 4)/10
Simplifying the numerator, we have:
(5x)/10
Finally, we can simplify the fraction by dividing both the numerator and denominator by 5:
(5x/10) = (x/2)
So, the simplified expression is (x/2), not 5x.