Find the sum of PNQFP equals 3/4 thank you equals 11/4 reduced your answer to the lowest term

To find the sum of PNQFP, which equals 3/4, and "thank you," which equals 11/4, we add the two fractions:

3/4 + 11/4

When the fractions have the same denominator (4 in this case), we can simply add the numerators:

(3+11)/4

Simplifying further, we have:

14/4

Since this fraction can be simplified to a mixed number, we divide the numerator by the denominator:

14 ÷ 4 = 3 with a remainder of 2

Thus, the fraction 14/4 reduces to the mixed number 3 2/4. However, to express our answer in the lowest terms, we simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2:

3/2

Therefore, the sum of PNQFP equals 3/4 and "thank you" equals 11/4, reduced to the lowest term, is 3/2.

To find the sum of PNQFP and thank you, you can add the fractions together.

PNQFP = 3/4
thank you = 11/4

To add these fractions, the denominators must be the same. In this case, the denominators are already the same (4).

Now, add the numerators together and keep the denominator the same:

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

However, we need to reduce this fraction to its lowest term.

To do this, find the greatest common divisor (GCD) of the numerator and the denominator, and divide both by it.

The GCD of 14 and 4 is 2.

So, divide both the numerator and denominator by 2:

14/4 ÷ 2/2 = 7/2

Therefore, the sum of PNQFP and thank you, reduced to the lowest term is 7/2.