Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–1) Main Idea Example 1:Rename an Improper Fraction Example 2:Rename an Improper Fraction Example.

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Mixed Numbers and Improper Fractions
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Mixed Numbers and Improper Fractions
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November Math 201 Objective: Students will learn to change an improper fraction to a mixed number, and change a mixed number to an improper fraction.
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Presentation transcript:

Splash Screen

Lesson Menu Five-Minute Check (over Lesson 8–1) Main Idea Example 1:Rename an Improper Fraction Example 2:Rename an Improper Fraction Example 3:Real-World Example Key Concept: Improper Fractions

Main Idea/Vocabulary I will write improper fractions as mixed numbers.

Example 1 Rename an Improper Fraction Step 1 Divide the numerator by the denominator. Write as a mixed number – 4 R4R4 number of fifths left Step 2 Write the remainder as a fraction with the divisor as the denominator Write the quotient as the whole number.

Example 1 Rename an Improper Fraction Answer: So, = 1. The model shows that this makes sense

1.A 2.B 3.C 4.D Example 1 C A D B Write as a mixed number. 7 4

Example 2 Rename an Improper Fraction Write as a mixed number Divide the numerator by the denominator – 0 there is no remainder Answer: Since 8 divides evenly into 16, can be written as

1.A 2.B 3.C 4.D Example 2 B. 4 A D Write as a mixed number C. 6

Example 3 Real-World Example Some school vans hold 32 students. If there are 68 students who want to ride in the van on a field trip, then the number of vans needed is. Write with a remainder. Then write it as a mixed number. Explain what both numbers mean Find 68 ÷ 32.

Example 3 Real-World Example – 4 R4R4 number of passengers left of the 68 total passengers Answer: So, = 2 R4. This means that 2 vans are completely full and a third van has 4 people in it. Also, = 2. This means the 2 vans are full

1.A 2.B 3.C 4.D Example 3 A travel bus can hold up to 24 people. If there are 75 people who want to travel on the bus, then the number of buses needed is. Write with a remainder. How many buses are needed? A.2 R27; 2 buses B.2 R3; 3 buses C.3 R2; 3 buses D.3 R3; 4 buses

KC 1

End of the Lesson End Lesson

Resources Five-Minute Check (over Lesson 8–1) Image Bank Math Tool Chest Fractions on a Number Line

1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 8–1) A. 1 bags 1 5 Represent the situation using a fraction and a model. Then solve. Five bags of compost are used in 6 garden beds. How many bags are used in each garden bed? C. 30 bags D. 11 bags B. of a bag 5 6

1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 8–1) C. of a mile 5 7 Represent the situation using a fraction and a model. Then solve. Julie ran 5 miles during 7 days, an equal amount each day. How far did she run each day? A. 12 miles B. 1 miles 2 7 D. of a mile 1 2

1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 8–1) C. of a pie 2 12 Represent the situation using a fraction and a model. Then solve. Two pies are shared among 12 friends. How much did each friend receive? A. of a pie 1 2 B. of a pie 1 3 D. of a pie 3 5

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