Adding and Subtracting with Adding and Subtracting 4
Adding and Subtracting with Adding and Subtracting 4 -8 Denominators Like Denominators Warm Up Problem of the Day Lesson Presentation Course 11 Like
Adding and Subtracting with 4 -8 Denominators Warm Up Write each mixed number as an improper fraction. 1. 6 1 __ 2. 2 1 __ 3. 3 2 __ 4. 8 1 __ 7 23 __ 7 4 5 49 __ 5 8 6. 4 __ 3 5. 9 __ Course 1 19 __ 3 5 2 11 11 __ 5 17 __ 2 52 __ 11 Like
Adding and Subtracting with 4 -8 Denominators Problem of the Day Marge has six coins that total $1. 15. She cannot make change for $1. 00, a halfdollar, a quarter, a dime, or a nickel. What coins does she have? half dollar, quarter, 4 dimes Course 1 Like
Adding and Subtracting with 4 -8 Denominators Learn to add and subtract fractions with like denominators. Course 1 Like
Adding and Subtracting with 4 -8 Denominators Like Additional Example 1: Application 1 Snow was falling at a rate of __ inch per hour. Use 4 pictures to model how much this rate will increase in two hours, then write your answer in simplest form. 1 __ + 4 4 1 __ 1 2 __ __ + = 4 4 4 1 __ = 2 Add the numerators. Keep the same denominator. Write your answer in simplest terms. + After 2 hours Course 1 = 1 __ 2 inch of snow fell
Adding and Subtracting with 4 -8 Denominators Like Check It Out: Example 1 1 Rain was falling at a rate of __ inch per hour. Use 8 pictures to model how much this rate will increase in two hours, then write your answer in simplest form. 1 __ + 1 __ 8 8 1 __ 1 2 __ __ + = 8 8 8 1 __ = 4 Add the numerators. Keep the same denominator. Write your answer in simplest terms. + After 2 hours Course 1 = 1 __ 4 inch of rain fell.
Adding and Subtracting with 4 -8 Denominators Like Remember! When the numerator equals the denominator, the fraction is equal to 1. 3 =1 __ 3 Course 1 173 ____ =1 173
Adding and Subtracting with 4 -8 Denominators Additional Example 2 A: Subtracting Like Fractions and Mixed Numbers Subtract. Write each answer in simplest form. 3 1 – __ 5 To get a common denominator, rewrite 1 as a fraction with a denominator of 5. 5 – __ 3 2 __ __ = 5 5 5 Subtract the numerators. Keep the same denominator. Check ― Course 1 = Like
Adding and Subtracting with 4 -8 Denominators Additional Example 2 B: Subtracting Like Fractions and Mixed Numbers 5 __ 1 __ 5 12 – 2 12 5 5 1 __ – 2 __ 12 4 __ 3 12 1 __ 3 3 12 Subtract the fractions. Then subtract the whole numbers. Write your answer in simplest form. Check - Course 1 = Like
Adding and Subtracting with 4 -8 Denominators Check It Out: Example 2 A Subtract. Write each answer in simplest form. 2 1 – __ 6 To get a common denominator, rewrite 1 as a fraction with a denominator of 6. 6 – __ 2 4 __ __ = Subtract the numerators. Keep the same 6 6 6 = denominator. 2 __ Write your answer in simplest form. 3 Check – Course 1 = Like
Adding and Subtracting with 4 -8 Denominators Check It Out: Example 2 B 7 __ 4 – 2 12 12 4 7 4 __ – 2 __ 12 3 __ 2 12 1 __ 2 4 12 Subtract the fractions. Then subtract the whole numbers. Write your answer in simplest form. Check Course 1 = Like
Adding and Subtracting with 4 -8 Denominators Like Additional Example 3 A: Evaluating Expressions with Fractions 2. Write Evaluate the expression for x = __ 9 each answer in simplest form. 5 – __ x 9 5 – __ x Write the expression. 9 5 – __ 2 __ 9 9 = 3 __ 9 2 __ Substitute for x and subtract the 9 numerators. Keep the same denominator. 1 = __ Write your answer in simplest form. 3 Course 1
Adding and Subtracting with 4 -8 Denominators Like Additional Example 3 B: Evaluating Expressions with Fractions 2. Write Evaluate the expression for x = __ 9 each answer in simplest form. x+2 x + 2 4 __ 9 4 __ Write the expression. 9 4 6 2 __ __ __ 2 2 = + 9 9 9 = 2 Course 1 2 __ 3 Substitute 2 __ for x. Add the 9 fractions. Then add the whole numbers. Write your answer in simplest form.
Adding and Subtracting with 4 -8 Denominators Like Additional Example 3 C: Evaluating Expressions with Fractions 2. Write Evaluate the expression for x = __ 9 each answer in simplest form. 8 x + __ 9 x + 8 __ 9 8 10 1 2 __ __ , or 1 = + 9 9 Course 1 Write the expression. 2 __ Substitute 9 for x and add the numerators. Keep the same denominator.
Adding and Subtracting with 4 -8 Denominators Like Check It Out: Example 3 A 2 Evaluate the expression for x = __. Write 6 each answer in simplest form. 4 – __ x 6 4 – __ x Write the expression. 4 – __ 2 2 __ __ = 2 __ Substitute 6 for x and subtract the 6 6 Course 1 6 6 numerators. Keep the same denominator. 1 = __ Write your answer in simplest form. 3
Adding and Subtracting with 4 -8 Denominators Check It Out: Example 3 B 2 Evaluate the expression for x = __. Write 6 each answer in simplest form. x+3 x + 3 1 __ 6 1 __ Write the expression. 6 1 3 2 __ __ __ 3 3 = + 6 6 6 = 3 Course 1 1 __ 2 2 __ Substitute for x and add 6 the numerators. Keep the same denominator. Write your answer in simplest form. Like
Adding and Subtracting with 4 -8 Denominators Like Check It Out: Example 3 C 2 Evaluate the expression for x = __. Write 6 each answer in simplest form. 5 x + __ 6 x + 5 __ 6 5 7 1 2 __ __ , or 1 = + 6 6 Course 1 Write the expression. 2 __ Substitute 6 for x and add the numerators. Keep the same denominator.
Adding and Subtracting with 4 -8 Denominators Lesson Quiz 3 __ 1. Weston walks 4 of a mile every day. How far will he have walked in 4 days? 3 miles Subtract. Write each answer in simplest form. 9 2. 1 – __ 11 2 __ 11 16 4. Evaluate ___ 21 Course 1 8 __ 1 3. 1 – __ 9 – 6 __ x for x = __. 10 21 21 9 Like
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