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070_G5U13_G6U15_TG 2014.4.18 3:34 PM ˘ ` 189
13Flip It Over Unit
Objective: Learn how to divide fractions and find reciprocals.
Have students use models to divide fractions.
There is 5 L of juice in a bottle. How many 2 L cups are needed to pour all Pour 5 L of juice into 2 L cups.
7 7 7 7
of the juice from the bottle into the cups? How many cups are needed to pour all the
juice from the bottle? 2 1 cups.
2
5 L Eliminate the denominators. Pour 5 L of
7
2 juice into 2 L cups. How many 2 L cups are
7L
5 2 needed to pour 5 L of juice? 2 1 cups.
7 7 2
Compare the quotients of and 5 2.
Are 5 2 and 5 2 the same? Yes, it’s
7 7
5 2
Divide. 7 7 the same.
2 2 1
7L 7L 7L
5 2 2 1
7 7 2
1
1 cup 1 cup 2 cup After the students have completed work,
discuss the questions.
Divide. 5 2 2L 1 Which is simpler, dividing fractions or
2 dividing whole numbers? Dividing whole
2L numbers.
How can you simplify dividing fractions
1L 52 2 with the same denominator?
Eliminate the denominator and simply divide
1 cup 1 cup 1 cup the numerators.
2
Chat
Discuss how to divide proper fractions that have the same denominator.
Dividing proper fractions that have the same denominator is the same as dividing the
numerators of those fractions.
13. Flip It Over 115
To better understand why fractions with the same denominator can be divided simply by dividing the numerator,
it is helpful to understand exactly what a fraction is. A fraction indicates a proportion of a whole. All fractions are
essentially an expression of parts of the number 1.
Example: 3 is three parts of 1 if 1 is divided into 10 equal parts. 5 is 5 parts of 1 if one is divided into 16
10 16
equal parts, and so on.
0 3 10 5 1
10 16
5A Unit 13 189
13Flip It Over Unit
Objective: Learn how to divide fractions and find reciprocals.
Have students use models to divide fractions.
There is 5 L of juice in a bottle. How many 2 L cups are needed to pour all Pour 5 L of juice into 2 L cups.
7 7 7 7
of the juice from the bottle into the cups? How many cups are needed to pour all the
juice from the bottle? 2 1 cups.
2
5 L Eliminate the denominators. Pour 5 L of
7
2 juice into 2 L cups. How many 2 L cups are
7L
5 2 needed to pour 5 L of juice? 2 1 cups.
7 7 2
Compare the quotients of and 5 2.
Are 5 2 and 5 2 the same? Yes, it’s
7 7
5 2
Divide. 7 7 the same.
2 2 1
7L 7L 7L
5 2 2 1
7 7 2
1
1 cup 1 cup 2 cup After the students have completed work,
discuss the questions.
Divide. 5 2 2L 1 Which is simpler, dividing fractions or
2 dividing whole numbers? Dividing whole
2L numbers.
How can you simplify dividing fractions
1L 52 2 with the same denominator?
Eliminate the denominator and simply divide
1 cup 1 cup 1 cup the numerators.
2
Chat
Discuss how to divide proper fractions that have the same denominator.
Dividing proper fractions that have the same denominator is the same as dividing the
numerators of those fractions.
13. Flip It Over 115
To better understand why fractions with the same denominator can be divided simply by dividing the numerator,
it is helpful to understand exactly what a fraction is. A fraction indicates a proportion of a whole. All fractions are
essentially an expression of parts of the number 1.
Example: 3 is three parts of 1 if 1 is divided into 10 equal parts. 5 is 5 parts of 1 if one is divided into 16
10 16
equal parts, and so on.
0 3 10 5 1
10 16
5A Unit 13 189
