3/5 = 6/10
6/10 + 7/10 = 13/10 = 1 3/10 pounds needed
3 * 4/5 = 12/5 = 2 2/5 pounds
2 4/10 - 1 3/10 = _______ pounds left over
6/10 + 7/10 = 13/10 = 1 3/10 pounds needed
3 * 4/5 = 12/5 = 2 2/5 pounds
2 4/10 - 1 3/10 = _______ pounds left over
1 1/10 pounds.
The weight of the first piece of pottery is 3/5 pound.
The weight of the second piece of pottery is 7/10 pound.
To find the total weight, we'll add these two amounts:
3/5 + 7/10
To add these fractions, we need a common denominator. The least common multiple (LCM) of 5 and 10 is 10. So, we'll rewrite the fractions with a denominator of 10:
(3/5) * (2/2) = 6/10
(7/10)
Now, we can add the fractions:
6/10 + 7/10 = 13/10
The total weight of clay required for both pieces is 13/10 pound.
Eva has three bags of clay, and each bag weighs 4/5 pound. To figure out the number of bags she needs, we'll divide the total weight required by the weight of each bag:
(13/10) รท (4/5) = (13/10) * (5/4)
Multiplying fractions is done by multiplying the numerators and denominators:
(13 * 5) / (10 * 4) = 65/40
Now, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 5:
(65/5) / (40/5) = 13/8
Therefore, Eva will need 13/8 bags of clay to make both pieces.
Now, let's calculate the remaining clay:
Eva has three bags of clay, and each bag weighs 4/5 pound. So, she has a total of (3 * 4/5) = 12/5 pound of clay.
To find the clay left over, we'll subtract the total weight required from the clay she has:
(12/5) - (13/10)
To subtract fractions, we need a common denominator. The LCM of 5 and 10 is 10:
(12/5) - (13/10) = (24/10) - (13/10)
Now, we can subtract the fractions:
(24 - 13)/10 = 11/10
Therefore, Eva will have 11/10 pound of clay left over after making both pieces.
In summary:
- Eva will need 13/8 bags of clay to make both pieces of pottery.
- She will have 11/10 pound of clay left over.