Final answer:
The equivalent expression for 2/3 - 4/5 is B. 2/3 + (4/5), where the subtraction is converted into the addition of a negative number.
Step-by-step explanation:
The question asks for an equivalent expression for the subtraction of two fractions, specifically 2/3 - 4/5. To find an equivalent expression, we must look for a way to combine these two fractions with addition (keeping the subtraction in mind). When we subtract a positive number, like in the expression 5 - (+3) which equals 5 - 3, we change the sign of the number we are subtracting before operating.
Hence, the subtraction of 4/5 is equivalent to the addition of its opposite, which is -4/5. Therefore, the equivalent expression for 2/3 - 4/5 is 2/3 + (-4/5), matching the option B. 2/3 + (4/5), where the parentheses indicate the sign change to negative.