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 add the numerators of p and q and keep the common denominator.
p = 3/4
q = -11/4
The sum of p and q is (3 + -11)/4, which simplifies to -8/4.
Reducing -8/4 to the lowest terms, we divide both the numerator and denominator by their greatest common divisor, which is 4.
-8/4 ÷ 4/4 = -2/1
Therefore, the sum of p and q, reduced to lowest terms, is -2/1.
To find the sum of p and q, we will add their values together.
p = 3/4
q = -11/4
Adding p and q:
p + q = (3/4) + (-11/4)
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 4.
p + q = (3/4) + (-11/4)
Since the denominators are the same, we can simply add the numerators:
p + q = (3 - 11)/4
Simplifying the numerator:
p + q = -8/4
The fraction -8/4 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:
p + q = (-8/4) / 4/4
p + q = -2/1
The sum of p and q, in lowest terms, is -2.