In this lesson us solve portion divisions by reasoning how numerous times the divisor "fits" or "goes into" the dividend. For example, the portion 1/4 goes into 5 20 times, therefore 5 ÷ (1/4) = 20. The lesson has actually lots the exercises through visual models and many native problems. The previous lesson had actually to perform with splitting fractions by totality numbers.In the video, I explain two different division situations wherein we don"t need to use the "rule" or faster way for fraction division, but instead can use mental math. The very first is when a portion is split by a entirety number. The second is as soon as the answer come a fraction division is a totality number.

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How many times does one point fit into another?You can constantly write a division from this situation. Think: “How plenty of times go the divisor enter the dividend?”
How plenty of times does

go into ?
Eight times. We deserve to write a division: 2 ÷1

4

= 8.
Then check the division: 8 ×1

4

= 8

4

= 2.
How plenty of times does
1

2

go into3?
Six times. We deserve to write a division: 3 ÷1

2

= 6.
Then check the division: 6 ×1

2

= 6

2

= 3.

1.Solve. Write a division. Then compose a multiplication that checks her division.

a.How countless times does

go into?
2 ÷1

3

=_____
Check: ____ ×1

3

=
b. How plenty of times does

go into ?
1 ÷

1

4

= _____
Check: ____ ×1

4

=
c.How countless times does
go right into ?
6 ÷1

3

=____
Check: d.How numerous times does

go into ?
5 ÷

1

4

=____
Check: currently you write the division. It is in careful: the divisor is the number the “goes into” the dividend.

e. How numerous times does

go into ?
____ ÷
*
=
Check: f. How numerous times does
*
go into ?
____÷____=
Check: g. How many times does
1

6

go into 2?
____÷____=
h. How many times does
1

5

go into 3?
____÷____=
2.Divide.Think, “How countless times doesthe divisor enter the dividend?”Use the images to help.

a. 3 ÷

1

6

=

b. 4 ÷

1

9

=

c.4 ÷

1

8

=

d. 3 ÷

1

2

=

e. 3 ÷

1

7

=

f. 4 ÷

1

5

=

g.2 ÷

1

3

=


Did you notification a pattern? there is a shortcut to separating a totality number by a unit fraction!
5

÷ 1

4

5 × 4 = 20
3
÷

1

8

3 × 8 = 24
9
÷

1

7

9 × 7 = 63

Why does it work-related that way? for example, think about the problem 5 ÷ (1/4). Due to the fact that 1/4 goesinto 1 precisely 4 times, that must enter 5 specifically 5 × 4 = 20 times.
3.Solve. Use the shortcut.

a. 3 ÷

1

6

=

b. 4 ÷

1

5

=

c. 3 ÷

1

10

=

d. 5 ÷

1

10

=

e. 7 ÷

1

4

=

f. 4 ÷

1

8

=

g. 4 ÷

1

10

=

h. 9 ÷

1

8

=

4. Create a department for every word problem, and solve. Perform not write just the answer.

a. How numerous 1/2-meter pieces can you reduced from a role of string the is 6 meters long?

b. How countless 1/4-cup servings deserve to you acquire from 2 cups of almonds?

c. Ben has small weights that sweet 1/10 kg each. How numerous of those would certainly he need to make 5 kg?
d.An eraser is 1/8 inches thick. How many erasers can be stacked right into a 4-inch high box?

5. Create a story problem to complement each division, and also solve.

a. 2 ÷

1

2

=

b. 5 ÷

1

3

=

6. These divisions are not as easy as the vault ones, yet they room not challenging either. Again, think how numerous times the divisor goes into the dividend. The pictures can help.

a. 4 ÷

2

3

=

b. 4 ÷

4

5

=

*
c. 2

5

6

÷ 1

6

=

d. 3 ÷

6

10

=

*
e. 3

5

9

÷ 4

9

=

*
f. 2

4

8

÷ 5

8

=

7. Create a department and solve. Write additionally a multiplication to examine your division.

a. How many times does

*
go into?
____
÷____=____
____
×____=____
b. How numerous times does
*
go into
*
?
____
÷____=____
____
×____=____
c. How numerous times does
*
go into ?
____
÷____=____
____
×____=____
d. How plenty of times does

go into ?
____
÷____=____
____
×____=____

8. A recipe calls for 1/2 cup of butter, among other ingredients. Alison had plenty of every one of the various other ingredients except the butter. How numerous batches the the recipe have the right to she make if she has ...

a. 3 cups of butter?

b. 2 ½ cup of butter?

9. Jackie made three apple pies and divided them right into twelfths. She plans on serving 2 slices to each guest. How numerous servings will she obtain out that the 3 pies? Hint: draw a picture.

10. How countless 2/10-liter servings execute you acquire from 1 liter the juice?

the end of 4 liters the juice?

11. Once Natalie goes jogging, she jogs for 1/4 mile, climate walks for 1/4 mile, climate again jogs because that 1/4 mile, and so on. How countless such stretches are there for she in a jogging track the is 2 1/2 mile long?

12. Jill provides bead necklaces that must be precisely 24 inches long. She has actually size SS beads, which are 1/8-inch thick, and also size S beads, which are 1/4-inch thick.

Bead Width
SS 1/8 in
S 1/4 in

a.How many beads would certainly be in a necklace made specifically of SS beads?

b.How countless beads would certainly be in a necklace made exclusively of S beads?

c.She additionally makes a necklace through the sample SS-S-SS-S. How plenty of of each type of bead go she need?

*

A self-teaching worktext that teaches fractions making use of visual models, a sequel to mathematics Mammoth fractions 1. The book covers simplifying fractions, multiplication and division of fractions and also mixed numbers, converting fractions to decimals, and ratios.

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Download ($5.75). Also available as a printed copy.