Divide Whole Numbers by Fractions

4.6 p. 305

32

32

The denominator becomes the numerator. The numerator becomes the denominator. The fraction is “flipped” or inverted.

The fraction must firstbe in form.

5

51

15

15

53

31

111

111

Write the problem Keep the first number (dividend) Change the division sign to multiplication Flip (invert the divisor) and multiply by this reciprocal.

KeepChangeFlip

71

32

71

32

212

2121012

61÷13

61∙31

¿18

51÷23

51∙32

152

=712

Cancelling inmultiplicationonly!!

41÷34

41∙43

163

=513

How many 45 minute games can be played in 6 hours?

1 game

*

1game

*

1game

*

1game

*

1game

*

1game

*

6 games + 2 more

What is happening in our equation???????

When we multiply 6 x 4, we are finding how many fourths are in 6 hours.There are 24 fourths in 6 hours.

The 24 that we have is now dividedinto groups of 3. Twenty four sectionsdivided by 3 gives us our 8 games.

23

32

17

71

41

14

21÷13

21∙31

61=6

21÷45

21∙54

52=2

12

1

2

51÷27

51∙72

352

=1712

Equations

Models

How many sections are there?

6

This next part is a bittricky…..we are talkingabout 4 sections, right? Well, there are 2 left over.Two is ½ of 4, so 2 ½

212

Next slide

5

17 groups with 1 out of 2 left over. 17

41÷23

41∙32

lots

4÷23

2

1