Final answer:
To evaluate A + B with A = 2/3 and B = 4/5, we first find the common denominator, which is 15, then write equivalent fractions as 10/15 and 12/15. Adding them gives us 22/15, which is the simplest form and can also be written as 1 7/15.
Step-by-step explanation:
The student's question asks us to evaluate the expression A + B given that a equals 2/3 and B equals 4/5. To solve this, we simply add the two fractions together.
We start with the given values:
A = 2/3
B = 4/5
To add these fractions, we find a common denominator, which in this case is 3 * 5 = 15. Then, we write equivalent fractions with this common denominator:
A = (2 × 5)/(3 × 5) = 10/15
B = (4 × 3)/(5 × 3) = 12/15
Now we can add the fractions:
A + B = 10/15 + 12/15 = (10 + 12)/15 = 22/15
The simplest form of 22/15 is actually an improper fraction, which means the numerator is larger than the denominator. We can also convert it into a mixed number:
22/15 = 1 7/15