At the potluck , there were 6 pecan pies, 7 lemon pies, 13 cherry pies, and 8 apple pies. Find the ratio in simplest form. Then explain its meaning.

I would wonder what your teacher possibly means by "meaning".

What is the meaning of .58? or 4:5?

6:7:13:8 is the simplest form.

Sorry Mr. Bobpursley I am writing the question again:

At the potluck , there were 6 pecan pies, 7 lemon pies, 13 cherry pies, and 8 apple pies. Find the ratio of apple pies to the total number of pies. Write the ratio in simplest form. Then explain its meaning.

For every 6 pecan pies there, are 7 lemon pies

It’s not it’s 23/45

To find the ratio in simplest form, we need to find the greatest common divisor (GCD) of the numbers. Then, we divide each number by the GCD to simplify the ratio.

There are 6 pecan pies, 7 lemon pies, 13 cherry pies, and 8 apple pies. To find the GCD, we can list the factors of each number:

Factors of 6: 1, 2, 3, 6
Factors of 7: 1, 7
Factors of 13: 1, 13
Factors of 8: 1, 2, 4, 8

The only common factor among all the numbers is 1. Therefore, the GCD is 1.

Now, we divide each number by 1:
6 ÷ 1 = 6
7 ÷ 1 = 7
13 ÷ 1 = 13
8 ÷ 1 = 8

Therefore, the simplified ratio is 6:7:13:8.

The ratio 6:7:13:8 means that for every 6 pecan pies, there are 7 lemon pies, 13 cherry pies, and 8 apple pies. It provides a proportional comparison between the different types of pies at the potluck. For example, if you were to randomly select one pie from the potluck, the ratio suggests that there is a higher chance of selecting a lemon pie compared to a pecan pie or an apple pie.