Find the sum of p and q if p = 3/4 and q = 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 + q = (3/4) + (11/4)

To add fractions, the denominators must be the same. Here, both fractions have a denominator of 4, so we can add the numerators together:

(3/4) + (11/4) = (3 + 11)/4 = 14/4

Next, we simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2:

14/4 = 7/2

Therefore, the sum of p and q, reduced to lowest terms, is 7/2.

Answer 2

Add (-12) and (-15).

Answer 3

To add negative numbers, we simply add their absolute values (ignoring the signs) and then assign the sum a negative sign.

|-12| + |-15| = 12 + 15 = 27

Since both -12 and -15 are negative, the sum will be negative:

-12 + -15 = -27

Therefore, the sum of -12 and -15 is -27.