MichaelFA

**Extended response questions:**  1. How can you tell if two fractions are equivalent? when you simplify the fractions they will turn out the same.

2. When is a fraction in simplest form? when you can not simplify the fraction anymore.

3. Why do you need to find a common denominator before adding or subtracting fractions?  you need to find one because if the denominators are not the same you will not be able to match them up. 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? the numbers 1/2 to 1/4 the denominators are doubled not the numerator  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. 1/2 the school 3-5 should use mechanical pencils and the other 1/2 K-2 should use regular pencils.