Find the sum of p and q if p = 3/4 and q equals -11/4 reduce your answer to lowest terms.
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.
To find the sum of p and q, we need to add their values together.
Given:
p = 3/4
q = -11/4
To add fractions, we need a common denominator. The common denominator for 4 is 4 itself.
Now, we can rewrite p and q with the common denominator of 4:
p = 3/4
q = -11/4
To add fractions, we add the numerators together and keep the same denominator:
p + q = (3/4) + (-11/4)
Adding the numerators:
p + q = (3 - 11) / 4
Simplifying the numerator:
p + q = -8 / 4
Reducing the fraction to lowest terms:
p + q = -2
Therefore, the sum of p and q is -2 when reduced to lowest terms.