Find the sum of p and q if p = 3/4 and q = -11/4. Reduce your answer to lowest terms?
To find the sum of p and q, we can simply add the numerators of p and q and retain the common denominator.
The sum of p and q is:
p + q = 3/4 + -11/4 = (3 + -11)/4 = -8/4 = -2
Therefore, the sum of p and q is -2.
To find the sum of p and q, we simply add the values of p and q together.
p = 3/4
q = -11/4
Adding p and q:
(3/4) + (-11/4)
To add fractions, we need to have a common denominator. In this case, the denominator is already the same, which is 4.
3/4 + (-11/4)
To add the numerators, we add 3 and -11:
(3 - 11)/4
Simplifying the numerator:
(-8)/4
To reduce the fraction to lowest terms, we divide both the numerator and denominator by their greatest common divisor, which is 4:
(-8/4) ÷ (4/4)
-8 ÷ 4 = -2
4 ÷ 4 = 1
Therefore, the sum of p and q, when reduced to lowest terms, is equal to -2/1, which is just -2.