I am having a lot of difficulty please help.

Eva wants to make two pieces of pottery. She needs 3/5 pound of clay for one piece and 7/10 pound of clay for the other piece. She has three bags of clay that weigh 4/5 pound each. How many bags of clay will Eva need to make both pieces of pottery? How many pounds of clay will she have left over?

6/10 + 7/10 = 13/10 needed

each bag is 8/10

so two bags is enough, 16/10

from the secondbag 3/10 is left over plus the entire third bag
so
remainder = 11/10 or 1 1/10

How did you get 6/10? Where did you come up with 6/10?

To find out how many bags of clay Eva will need, we need to add up the amounts of clay needed for both pieces of pottery and then divide it by the amount of clay in each bag.

First, let's add the amounts of clay needed for each piece of pottery:
3/5 pound + 7/10 pound

To add these fractions, we need to have a common denominator. The least common multiple (LCM) of 5 and 10 is 10. So let's convert these fractions so they have a denominator of 10:

(3/5 pound) = (3 * 2 / 5 * 2) = 6/10 pound

So now we have:
6/10 pound + 7/10 pound

Adding the fractions gives us:
(6 + 7)/10 pound = 13/10 pound

Now, we need to divide the total amount of clay needed (13/10 pound) by the amount of clay in each bag (4/5 pound) to find out how many bags Eva will need:

(13/10 pound) ÷ (4/5 pound)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(13/10 pound) * (5/4 pound)

Multiplying the fractions gives us:
(13 * 5) / (10 * 4) = 65/40 pound

Since it's not practical to have a fraction of a bag, we need to round up to the nearest whole number. In this case, 65/40 pound is approximately 1.625, so we round up to 2 bags.

Therefore, Eva will need 2 bags of clay to make both pieces of pottery.

To find out how many pounds of clay she will have left over, we need to subtract the total amount of clay needed from the total amount of clay she has:

Total amount of clay she has: 3 bags * (4/5 pound per bag) = 12/5 pound

Subtracting the total amount of clay needed (13/10 pound) from the total amount of clay she has (12/5 pound) gives us:

(12/5 pound) - (13/10 pound)

Again, let's find a common denominator of 10:

(12/5 pound) = (12 * 2 / 5 * 2) = 24/10 pound

So now we have:
24/10 pound - 13/10 pound

Subtracting the fractions gives us:
(24 - 13)/10 pound = 11/10 pound

Therefore, Eva will have 11/10 pound of clay left over.

To summarize:
- Eva will need 2 bags of clay to make both pieces of pottery.
- She will have 11/10 pound of clay left over.