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Fractions, Mixed Numbers, and Improper Fractions: Pg. 179 โ 180 Mixed Number 3 Proper Fraction 4 5 2 5 Improper Fraction 4 3 Changing a Mixed Number to an Improper Fraction: Use the โMagic Cโ Step 1: Multiply the __________________ by the whole number. Step 2: Add the product to the __________________________. Step 3: The ______________________ stays the same. Practice: Change to an improper fraction: Changing an Improper Fraction to a Mixed Number: Divide the numerator by the denominator Practice: Equivalent Fractions and Simplest Form: Pg. 199-202; 205 Equivalent Fractions There are 3 ways to find an equivalent fraction: Way 1: Use fraction number lines or fraction bars. Way 2: You can multiply. Way 3: You can divide. Unknown Parts 1 ๐ = 2 14 24 36 3 =๐ฅ Simplest Form: Pg. 201 There are two ways to find the simplest form of a fraction: Way 1: Divide by the GCF. Way 2: Cancel common factors. Comparing Fractions & Mixed Numbers: Pg 183-184; 195-196 Comparing Fractions and Mixed Numbers with LIKE denominators: Way 1: Use fraction bars Way 2: Step 1: Compare the whole numbers Step 2: Compare the numerators Comparing Fractions and Mixed Numbers with UNLIKE Denominators Way 1: Use fraction bars Way 2: Step 1: Compare the _______________ numbers. Step 2: Find a ____________ denominator. Step 3: Find an _________________ fraction. Compare the numerators. Adding & Subtracting Fractions with Like Denominators Pg. 185-188 Addition Example 1: Step 1: Add the numerators. Step 2: The denominator stays the same. Step 3: Simplify Subtraction Example 1: Step 1: Subtract the numerators. Step 2: Denominator stays Step 3: Simplify. the same. Adding and Subtracting with Unlike Denominators Pg. 207-208 There are two ways you can add or subtract fractions with unlike denominators. The key is to make ______________________________________________. Ways to find a ___________________________________________ Multiply the denominators Find the Least Common Denominator (LCD) The LCD is the LCM of the denominators. Use the new denominator to find an equivalent fraction: After you make the denominators the same, you can then add or subtract: Make sure to try to simplify your fraction if you can! Adding and Subtracting Mixed Numbers Checklist 1. What operation are you performing? 2. Are the denominators the same? 3. Do you need to borrow? (Remember that when borrowing fractions to borrow from the whole number and rename the mixed number.) 4. Add or subtract the fractions first. 5. Add or subtract the whole numbers. Adding and Subtracting Mixed Numbers: Pg. 191-193; 209-212 1 4 2 5 3 +2 =n 1 Step 1: Write equivalent fractions for and 4 5 2 Step 2: Add. Simplify the sum if possible. by using the LCD, which is ______ 1 1 4 2 9 -8 =n Step 1: Find the LCD of the fractions. Step 2: Write equivalent fractions. Step 3: Rename mixed numbers if necessary. Step 4: Subtract and simplify. Multiplying Fractions and Mixed Numbers Multiplying Fractions Way 1: Multiply first, then simplify Step 1: Multiply numerators. Multiply denominators. Way 2: Simplify first 1. Rewrite using factors. Step 2: Simplify. 2. Divide common factors. 3. Multiply. Multiplying Mixed Numbers 1. Write the mixed numbers as an improper fraction. Two Mixed Numbers 2. Multiply 3. Simplify. Write fraction as mixed numbers. Mixed Number and Whole Number Divide Fractions 1. Rewrite the division as a multiplication by the reciprocal of the divisor. Divide by a whole number Divide whole numbers Divide Fractions 2. Multiply and simplify. Divide Mixed Numbers 1. Write the mixed numbers as improper fractions. 2. Rewrite as a multiplication problem using the reciprocal of the divisor. 3. Multiply. 4. Simplify. Dividend is a whole number Divisor is a Fraction Dividend is a fraction