Find the sum of p and q if p = 3/4 and q equals -11/4 reduce your answer to lowest terms.

Answer 1

To find the sum of p and q, we simply add the two fractions together.

p = 3/4

q = -11/4

p + q = (3/4) + (-11/4)

To add fractions with the same denominator, we can add the numerators and keep the same denominator.

p + q = (3 - 11)/4

p + q = -8/4

We can simplify -8/4 to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor, which is 4.

-8/4 = (-8 ÷ 4)/(4 ÷ 4)
= -2/1

Therefore, the sum of p and q, when reduced to lowest terms, is -2/1 or simply -2.