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 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.
Add (-12) and (-15).
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.
To find the sum of p and q, we need to add the two fractions.
p = 3/4
q = 11/4
The denominators of both fractions are the same, so we can add the numerators and keep the denominator the same.
p + q = (3/4) + (11/4)
When adding fractions with the same denominator, we simply add the numerators and keep the denominator the same.
p + q = (3 + 11)/4
Adding the numerators, we get:
p + q = 14/4
To reduce the fraction to lowest terms, we divide both the numerator and denominator by their greatest common divisor, which is 2.
14/4 = (14 ÷ 2) / (4 ÷ 2) = 7/2
Therefore, the sum of p and q, reduced to lowest terms, is 7/2.
To find the sum of p and q, we need to add their values. Let's calculate it step by step:
Step 1: Write down the values of p and q: p = 3/4 and q = 11/4.
Step 2: Add the numerators of p and q (the top numbers): 3 + 11 = 14.
Step 3: The denominators remain the same: 4.
So, the sum of p and q is 14/4.
To reduce the answer to its lowest terms, we need to simplify the fraction. In this case, both the numerator and denominator of 14/4 can be divided by 2. Dividing 14 by 2 gives 7, and dividing 4 by 2 gives 2.
Therefore, the sum of p and q in lowest terms is 7/2.