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1.04 09-22-08 ____________________________________________________ 1. What are like fractions? 1. They’re fractions with the same denominator EX: ⅝ ⅞ ⅛ 2. What are unlike fractions? 2. They’re fractions with different denominators EX: ⅛, , ,½ 3. What are proper fractions? 3. Fractions in which the numerator is less than the denominator EX: ½ ⅞ ⅛ 4. What are improper fractions? 4. Fractions in which the numerator is greater than the denominator EX: , , 5. What are equivalent fractions? 5. Fractions that have the same value EX: 6. How do I make an equivalent fraction? = = = = 6. * Multiply the numerator and denominator by the same number EX: x = x = OR * Divide by a number that goes into the numerator AND denominator evenly EX: ÷ = ÷ = 7. What does simplest form mean? 7. The fraction cannot be reduced * No numbers other than 1 can go into the numerator and denominator evenly EX: ⅝ , ⅔ , ⅞ 8. How do I change a whole number into fraction? 8. Put the whole number over 1 EX: 7= 10= 5= 9. The numerator must be the same as the denominator 9. How do I make a fraction equal to 1? EX: =1 =1 =1 10. What is a mixed number? 10. A whole number with a fraction EX: 4⅝ , 7⅔ , 3⅞ 11. How do I change a mixed number into an improper fraction? 11. 1. Multiply the whole number and denominator 2. Add the numerator to your answer 3. The sum becomes the numerator Then add. 4. The denominator stays the same EX: 4⅝ 7⅔ 3⅞ 2 33 Multiply. 11. How do I change an improper fraction into a mixed number? 12. Change the improper fractions to mixed numbers: 11. 1 __ 24 = 12. 1. 2. 3. 4 9 -8 1 1. Divide the numerator by the denominator. 2. The remainder becomes the numerator, the denominator stays the same. 1.04 Multiply fractions 1. How do I multiply fractions? 1. A. Multiply the numerators straight across B. Multiply the denominators straight across C. Write the answer in simplest form Example 1: 1/3 * 3/5 Example 2: 4 * 7/8 Example 3: 1/3 * 1 1/2 Example 4: 2 1/2 * 1 1/3 Example 5: 3 * 2 1/8 1.03 Multiply fractions 3. How do I multiply mixed numbers? 3. A. Change the mixed numbers to improper fractions 4. How do I evaluate fraction expressions? 4. A. Replace x with the given number B. Multiply B. Multiply C. Write your answer in simplest form Example: x = 5/8 1/3 * x 1.03 Multiply fractions 6. How do I multiply a 6. whole number by a A. Write both numbers as improper fractions mixed number? B. Multiply C. Change your answer to a mixed number 1.03 Divide fractions 1. What is a reciprocal? 1. It’s when you flip a fraction upside down 2. How do I find the reciprocal of a fraction? 2. Switch the numerator and denominator Example: 2/5 = 8/9 = 1.04 Divide fractions 3. How do I divide fractions? 3. 1. Copy the first fraction 2. Change the division sign to multiplication (Dot) 3. Flop (flip) the second fraction 4. Multiply 5. Write your answer in simplest form Example 1: 4/5 divided by 5/2 Example 2: 1/2 divided by 1/4 1.04 Add & subtract fractions 1. How do I add like fractions? 1. A. Add the numerators B. Keep the same denominator C. Write your answer in simplest form Example: 2/7 + 3/7 2.How do I subtract like fractions? 2. A. Subtract the numerators B. Keep the same denominator C. Write your answer in simplest form Example 1: 4/5 - 1/5 = Example 2: 1- 4/5= 3. How do I subtract like mixed numbers? 3. A. Subtract the fractions B. Subtract the whole numbers C. Write your answer in simplest form Example: 2 3/4 - 1 1/4 = 1.03 Add & subtract fractions 4. How do I evaluate expressions with fractions? 4. A. Write the expression B. Replace x with the given number C. Subtract/Add the numerators D. Keep the same denominator E. Write your answer in simplest form Example 1 : x = 5/8 x - 2/8 Example 2: x = 3/8 x + 1 1/8