Question

Find the sum of p and q if p=3/4 and q=-11/4. Reduce your answer to lowest terms.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the sum of p and q, we add the fractions p and q:

p + q = 3/4 + (-11/4)

To add fractions, we need to have a common denominator. The common denominator for 4 and 4 is 4. So we rewrite the fractions with this denominator:

p + q = (3/4) + (-11/4)

Now we can add the numerators:

p + q = (3 + (-11))/4

Simplifying the numerator gives us:

p + q = -8/4

We can further simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which in this case is 4:

p + q = (-8/4) ÷ (4/4)

p + q = -8/4 ÷ 1/1

p + q = -2 ÷ 1

Thus, the sum of p and q is -2.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the sum of p and q, we need to add the two fractions together.

p = 3/4
q = -11/4

To add fractions with the same denominator, we simply add the numerators and keep the same denominator.

p + q = (3/4) + (-11/4)

To add the numerators, we subtract 11 from 3:
3 - 11 = -8

The denominator remains the same:

p + q = -8/4

To reduce the fraction to its lowest terms, we can simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4:

-8 ÷ 4 = -2
4 ÷ 4 = 1

Thus, the sum of p and q, reduced to the lowest terms, is:

p + q = -2/1

Therefore, the sum of p and q is -2.