AnnaFA

**Extended response questions:**  1. How can you tell if two fractions are equivalent? You can tell when they equal each other. For example 5/10 = 4/8 = 2/4 =1/2 All the other numbers equal 1/2 because because all the numerators are all equal to the denominators.

2. When is a fraction in simplest form? A fraction is in simplest form when you reduce it or make as small as it can be. For example 1/9 can be reduced to 1/3

3. Why do you need to find a common denominator before adding or subtracting fractions?  You need to do that because if you have different numbers for the denominators and you forget to change it you might + or- the denominators to so yo need to see what numbers they have in common. example: if the fractions are 1/6 + 2/9 bother of the denominators are equal to 3 so it would be 1/3 + 2/3 = 1 whole. 4. 1/2-->1/4 : 1/4-->1/8 AND 1/3-->1/6 : 1/6--> _ Why did you put that answer? What is the relationship between these pairs of fractions? 1/12 because the pattern is 1 for the numerator and a number then the next number would be 1 and the denominator + itself.  5. Crozet Elementary teachers want students to only use #2 pencils or #2 mechanical pencils. To make that happen, the school will now provide all pencils, but we need to figure out what fraction of each kind the school should keep on hand. Several facts are known: 1. Mechanical pencils last twice as long as regular ones. 2. Mechanical pencils may only be used in grades 3, 4, and 5. 3. Mechanical pencils may not be used on bubble tests. 4. There are about the same number of students in grades K-2 as there are in grades 3-5. Using the information provided, what fraction of the total number of pencils should be mechanical pencils? Explain your decision in detail, using the facts. I think they should by regular pencils because you can use them on tests and stuff like that and you can reuse them, but if you had to get both just give3-5 mechanical and k-2 regular.