Question

!!Answer these six questions for 16 points!!

--- Adding & Subtracting Fractions ---
George eats 2/3 cup of Frosted Flakes. He is still hungry so he eats 1/2 cup of Cheerios. How much cereal does George eat in all?

Two kinds of fish are found in a 5-foot fish tank. A blue fish is 3/11 of a foot long and an orange fish that is 2/5 of a foot long. How much longer is the orange fish?
--- Adding & Subtracting Fractions ---
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--- Multiplying Fractions ---
Sam is making homemade cookies and the recipe calls for 13/8 cups of milk. How much milk does Sam need if she doubles her recipe?

Michelle is buying a poster for her math project. The size of the poster is 2 1/3 feet by 4 4/5 feet. What is the area of the project?
--- Multiplying Fractions --
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--- Dividing Fractions ---
Cara brought some candy bars from home. She wants to split 2 1/2 candy bars from home. She wants to split 2 1/2 candy bars among her four friends. How much will each person get?

Jack wants to share his candy with his friends. Right now, he has 4 pieces of chocolate. How many friends can he give 1/2 a candy bar too?
--- Dividing Fractions ---

[Each section tell you what operation you have to use in order to solve the problem correctly]
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Answer 1

1) 7/6 or 1 1/6 2)7/55 of a foot longer 3) 13/4 or 3 1/4 cups of milk

4) 56/5 or 11 1/5 feet

Explanation:

Let's go over this.

1) If the question asks how much cereal George eats in all, then you must add.

To do this, we must find 2/3 + 1/2. Also, we need to find the common denominator, so that is 6. 2/3 x 2= 4/6. 1/2 x 3= 3/6. Now, it is easier to add. 4/6 + 3/6= 7/6, or 1 1/6.

2) We must find the common denominator again. This is 55, since this is the LCM of 11 and 5. 3/11 x 5= 15/55. 2/5 x 11= 22/55. Now, since the orange fish is longer, 22/55 - 15/55 = 7/55 of a foot longer.

3) This is simple. 13/8 "doubled" is the same as 13/8 x 2, or 13/8 x 2/1. 13 x 2 = 26, and 8 x 1 =8. Our fraction will be 26/8, and we can simplify this to 13/4, or 3 1/4 cups of milk.

4) We can convert these two fractions to improper fractions. 2 1/3 = 7/3, and 4 4/5= 24/5. 7/3 x 24/5= 7 x 24/3 x 5 which is 168/15. The fully simplified fraction is 56/5, or 11 1/5 feet.

5) We must divide 2 1/2 and 4. 2 1/2 = 5/2, and 5/2 divided by 4 is the same thing as 5/2 x 1/4, which is 5/8 of a candy bar.

6) For this problem, we need to find the number of friends. We are supposed to divide 4 and 1/2. 4 divided by 1/2 is equal to 4/1 x 2/1, which is 8. Jack can split his candy bar pieces to 8 friends.

I hope this helped!