Find the sum of p and q if p= 3/4 and q= −11/4. Reduce your answer to lowest terms.(1 point)
To find the sum of p and q, we need to add the fractions together.
p + q = 3/4 + (-11/4)
When adding or subtracting fractions with the same denominator, we can simply add or subtract the numerators and keep the denominator the same.
p + q = (3 + (-11))/4
To simplify the numerator, we can think of adding a negative number as subtracting a positive number.
p + q = (3 - 11)/4
Now we can subtract the numerator.
p + q = -8/4
Since -8 is divisible by 4, we can simplify the fraction.
p + q = -2/1
Therefore, the sum of p and q is -2.
To find the sum of p and q, add their values:
p = 3/4
q = -11/4
p + q = 3/4 + (-11/4)
To add fractions with the same denominator, simply add the numerators:
p + q = (3 + (-11))/4
Now, simplify the numerator:
p + q = (-8)/4
Since the numerator and denominator have a common factor of 4, divide both by 4 to simplify:
p + q = -2/1
Therefore, the sum of p and q is -2/1, which can also be expressed as -2 in lowest terms.