Final answer:
The evaluation of the equation (1/6) = (4/5) + (3/4) shows that the equation is incorrect. Adding the right side fractions after converting them to a common denominator gives us 31/20, which in simplest form is 1 11/20, not 1/6.
Step-by-step explanation:
Let's evaluate the given equation, which appears to be incorrect as written: (1)/(6)=(4)/(5)+(3)/(4). To evaluate, we need to add the fractions on the right side and check if their sum equals the fraction on the left side.
First, find a common denominator for the fractions (4)/(5) and (3)/(4). The least common denominator (LCD) is 20. We then convert each fraction to an equivalent fraction with a denominator of 20:
(4)/(5) = (4 * 4)/(5 * 4) = 16/20
(3)/(4) = (3 * 5)/(4 * 5) = 15/20
Next, we add the converted fractions:
16/20 + 15/20 = (16 + 15)/20 = 31/20
The sum of 31/20 is not equal to 1/6. Therefore, the original equation is incorrect. The sum of 4/5 and 3/4 is 31/20, which in simplest form is 1 11/20.
To confirm if our answer is reasonable, we can observe that the sum of two fractions greater than 1/2 each will indeed be greater than 1, which 1 11/20 is.