You can solve this by convert mixed number(s) into improper fraction(s) 2. change both fractions to the equivalent fractions with the same denominator 3. omit denominators and write numerators as a ratio 4. simplify the ratio by dividing both numbers by the highest common factor.
We must follow order of operations rules (PEMDAS).
Thus, mult. and div. must be carried out before addn. and subtrn.
Calculate the quotient of (-2/5) and (4/5). In other words, divide (4/5) into (-2/5). Invert (4/5) and multiply:
(-2/5)(5/4) = -1/2
Then we have, in place of the original expression, the following expression:
-3/4 - 1/2 + (2 1/2).
Rewriting 2 1/2 as an improper fraction and elim. the parentheses yields:
-3/4 - 2/4 + 5/2, or -3/4 - 2/4 + 10/4, since the LCD is 4.
This yields 5/4 (answer)
