write as a single fraction in its lowest terms:
(x-2)/3 + (x+1)/4
In order to combine you have to find the common denominator. Which is 12. Looks like
(4x-8)/ 12+ (3x+3)/12. then add like terms and simplify.
10x-8/12
To write the expression as a single fraction in its lowest terms, we need to find a common denominator for the two fractions.
The denominators of the fractions are 3 and 4. To find a common denominator, we need to find the least common multiple (LCM) of 3 and 4, which is 12.
Now let's convert the fractions to have a denominator of 12:
For the first fraction, we multiply the numerator and denominator by 4 to get:
(4(x-2))/(4*3) = (4x-8)/12
For the second fraction, we multiply the numerator and denominator by 3 to get:
(3(x+1))/(3*4) = (3x+3)/12
Now we can combine the two fractions:
(4x-8)/12 + (3x+3)/12 = (4x+3x-8+3)/12 = (7x-5)/12
Therefore, the given expression, (x-2)/3 + (x+1)/4, written as a single fraction in its lowest terms, is (7x-5)/12.