1.04 09-22-08 Fractions Review ____________________________________________________

FRACTIONS EX: ⅝ ⅞ ⅛ EX: ⅛, , ,½ EX: ½ ⅞ ⅛ EX: , , 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. Fractions in which the numerator is greater than the denominator 4. What are improper fractions? EX: , ,

FRACTIONS OR = = = = EX: EX: x = x = 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: ÷ = ÷ =

FRACTIONS EX: ⅝ , ⅔ , ⅞ EX: 7= 10= 5= EX: = 1 = 1 = 1 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. Put the whole number over 1 8. How do I change a whole number into fraction? 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

FRACTIONS 2 3 EX: 4⅝ , 7⅔ , 3⅞ EX: 4⅝ 7⅔ 3⅞ 10. What is a mixed number? 10. A whole number with a fraction EX: 4⅝ , 7⅔ , 3⅞ 11. 1. Multiply the whole number and denominator 2. Add the numerator to your answer 3. The sum becomes the numerator 4. The denominator stays the same 11. How do I change a mixed number into an improper fraction? Then add. 2 3 EX: 4⅝ 7⅔ 3⅞ Multiply.

FRACTIONS 11. How do I change an improper fraction into a mixed number? 11. 1 4 __ 1. Divide the numerator by the denominator. 2 = 4 9 - 8 1 2. The remainder becomes the numerator, the denominator stays the same. 12. Change the improper fractions to mixed numbers: 1. 2. 3.

Multiplying Fractions 1.04 Multiply fractions Multiplying 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

Multiplying Fractions 1.03 Multiply fractions Multiplying Fractions 3. How do I multiply mixed numbers? 3. A. Change the mixed numbers to improper fractions B. Multiply 4. How do I evaluate fraction expressions? 4. A. Replace x with the given number B. Multiply C. Write your answer in simplest form Example: x = 5/8 1/3 * x

Multiplying Fractions 1.03 Multiply fractions Multiplying Fractions 6. How do I multiply a whole number by a mixed number? 6. Write both numbers as improper fractions Multiply Change your answer to a mixed number

Dividing Fractions 1.03 Divide fractions 1. What is a reciprocal? 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 =

Dividing Fractions COPY DOT FLOP 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

Adding & Subtracting Fractions 1.04 Add & subtract fractions Adding & Subtracting Fractions 1. How do I add like fractions? 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 =

Adding & Subtracting Fractions 1.03 Add & subtract fractions Adding & Subtracting 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