AdrianaFA

**Extended response questions:**  1. How can you tell if two fractions are equivalent? multiplying a number by the fraction 2. When is a fraction in simplest form? when you can't multiply the fraction any more 3. Why do you need to find a common denominator before adding or subtracting fractions? because it is harder to add or subtract unlike denominator  4. 1/2-->1/4 : 1/4-->1/8 AND 1/3-->1/6 : 1/6--> 1/12_ Why did you put that answer? What is the relationship between these pairs of fractions? because there is a pattern. the pattern is add the denominator of the first number. like 1 2+2=4 1 4+4=8 1 3+3=6 1 6+6+12 the relationship between the fractions is that they are factors of each other  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 would say 100/2000 would be mechanical and 50/2000 would be wood pencils