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?
Is it 1 23/10?
6/10 + 7/10 = 13/10
3 * (4/5) = 12/5 = 24/10 = 2 4/10
24/10 - 13/10 = 11/10 = 1 1/10
2 4/10 - 1 1/10 = _______ lbs left over
4 - 1 = 3
I don't understand how did you get 4-1?
2 4/10 - 1 1/10 = 1 3/10
To determine the number of bags of clay Eva will need to make both pieces of pottery, we need to calculate the total amount of clay required and then divide it by the amount of clay in each bag.
The clay required for the first piece of pottery is 3/5 pound, while the clay required for the second piece is 7/10 pound.
To find the total amount of clay required, we need to add the clay required for both pieces:
Total clay required = 3/5 pound + 7/10 pound
To make adding the fractions easier, we need to find a common denominator. The least common multiple of 5 and 10 is 10. So, let's convert the fractions to have 10 as the denominator:
3/5 pound = 6/10 pound
7/10 pound = 7/10 pound
Now, we can add the fractions:
Total clay required = 6/10 pound + 7/10 pound = 13/10 pound
So, Eva needs 13/10 pound of clay in total.
Next, we divide the total clay required by the amount of clay in each bag:
Number of bags needed = (13/10 pound) / (4/5 pound)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Number of bags needed = (13/10 pound) * (5/4 pound)
Multiplying fractions is straightforward; we simply multiply the numerators and denominators:
Number of bags needed = (13 * 5) / (10 * 4) = 65/40
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5 in this case:
Number of bags needed = (65/5) / (40/5) = 13/8
So, Eva needs 13/8 bags of clay to make both pieces of pottery.
To find out how many pounds of clay Eva will have left over, we need to subtract the total amount of clay required from the total amount of clay she has.
Eva has three bags of clay, and each bag weighs 4/5 pound:
Total clay available = 3 bags * (4/5 pound/bag) = 12/5 pound
To calculate the amount of clay left over, we subtract the total clay required from the total clay available:
Clay left over = Total clay available - Total clay required
= 12/5 pound - 13/10 pound
Again, we need to have a common denominator:
Clay left over = 12/5 pound - 13/10 pound
= 24/10 pound - 13/10 pound
Now, we can subtract the fractions:
Clay left over = (24 - 13) / 10 pound = 11/10 pound
So, Eva will have 11/10 pound of clay left over after making both pieces of pottery.