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 need to add the fraction p = 3/4 to the fraction q = -11/4.
p + q = 3/4 + (-11/4)
When adding fractions, we first need to have a common denominator. In this case, both fractions already have the same denominator of 4.
p + q = (3 - 11)/4
p + q = -8/4
To reduce the answer to the lowest terms, we can divide the numerator and denominator by their greatest common divisor, which is 4.
p + q = -8/4 = -2/1 = -2
Therefore, the sum of p and q, reduced to the lowest terms, is -2.
To find the sum of p and q, we add the values of p and q together.
p = 3/4
q = -11/4
Adding p and q together gives:
p + q = (3/4) + (-11/4)
To add fractions with the same denominator, we add the numerators and keep the denominator the same:
p + q = (3 - 11)/4
Simplifying the numerator gives:
p + q = (-8)/4
Since -8 is divisible by 4, we can simplify further:
p + q = -2
Therefore, the sum of p and q is -2.