fractions. roughly speaking, a fraction is a quantity that cannot be represented by a whole number....

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Fractions

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Page 1: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

Fractions

Page 2: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

Roughly speaking, a fraction is a quantity that cannot be represented by a whole number.

Why do we need fractions?

Consider the following scenario.

Can you finish the whole cake? If not, how much of the cake did you eat?1 is not the answer, neither is 0.

This suggests that we need a new kind of number.

Page 3: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

Parts of a Fraction

3

4

= the number of parts

= the total number of parts that equal a whole

Page 4: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

Parts of a Fraction

3

4

= numerator

= denominator

Page 5: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

Which number is Encircled?

3

4 = denominator

Page 6: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

Which number is Encircled?

3

4

= numerator

Page 7: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

¾ looks like

1/43

4 1/4

1/4

Page 8: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

¾ looks like

1/43

4 1/4

1/4

Page 9: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

¾ looks like

3

4

1/4

1/4

1/4

Page 10: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

What fraction of the balls is green?

3

4

Page 11: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

What fraction of the balls is blue?

1

4

Page 12: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

What fraction of the balls is green?

1

6

Page 13: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

What fraction of the balls is blue?

4

6

Page 14: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

What fraction of the rectangle is green?

4

6

Page 15: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

What fraction of the rectangle is green?

2

6

Page 16: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

What fraction of the pie is green?

4

4

Page 17: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

What fraction of the pie is green?

3

4

Page 18: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

What fraction of the musical instruments have strings?

2

5

Page 19: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

What fraction of the fish have stripes?

3

5

Page 20: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

What fraction of the arrowshit the bullseye?

1

3

Page 21: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

What fraction of the pins areknocked down?

29

Page 22: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

Mixed Number

A mixed number has a part that is a whole number and a part that is a fraction.

= 1 34

Page 23: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

What is the mixed number?

= 3 34

Page 24: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

Improper Fraction

A fraction in which the numerator is greater than the denominator.

=84

Page 25: Fractions. Roughly speaking, a fraction is a quantity that cannot be represented by a whole number. Why do we need fractions? Consider the following scenario

What is the improper fraction?

= 154