Final answer:
The expression (2/3) - (1/5) when simplified with a common denominator of 15 results in (10/15) - (3/15), which equals 7/15.
Step-by-step explanation:
The student seems to be asking for help with subtracting fractions. Specifically, the question asks to simplify the expression (2/3) - (1/5). To subtract fractions, you must have a common denominator. In this case, the common denominator for 3 and 5 would be 15. Therefore, you need to express each fraction with the common denominator before subtracting.
Steps to Solve:
Convert (2/3) to a fraction with a denominator of 15: (2/3) = (2*5)/(3*5) = 10/15.
Convert (1/5) to a fraction with a denominator of 15: (1/5) = (1*3)/(5*3) = 3/15.
Now subtract the second fraction from the first: 10/15 - 3/15 = 7/15.
This gives us a final answer of 7/15.