Scaling
Mixed Numbers & Improper Fractions
Multiplying Fractions & Whole Numbers
Multiplying 2 Fractions
Multiplying Mixed Numbers
100

If you multiply 1 1/4 times 3, will the product be larger than 1 1/4 or smaller?  Explain.

Larger because any factor times a number greater than 1, will make the product larger than the first factor.  

100
22/5
4 2/5
100
3 x 2/3
2
100
1/3 x 2/5
2/15
100
2 1/3 x 2 1/2
5 5/6
200

Why is the product of 2/3 times 1/3 smaller than 2/3?

Because 1/3 is less than one so the product will be less than 2/3.

200
4 1/4
17/4
200
What is 1/3 of 4?
1 1/3
200

Mrs. Michaud has 2/3 tank of gas in her car. If she uses 1/2 of that gas to drive to a monster truck rally, how much gas will she have left?

1/3 of a tank of gas

200

4 4/5 x  1/2

2 2/5

300

What can you multiply 1 and 3/8 by to get a product smaller than 1 and 3/8?  

Any amount less than 1.  So any proper fraction.

300
89/9
9 8/9
300

Ms. Inman has 5 pizzas. She's going to give 7/9 of her pizza to Mrs. Parker's class for being awesome. How much of Ms. Inman's pizzas will Mrs. Parker's class get?

We will eat 3 8/9 of Mrs. Inman's pizza.

300
1/4 x 6/16
3/32
300
3 1/3 x 3 1/4
10 5/6
400

Will 1 and 2/3 times 4 and 1/4 be larger than 4 or smaller than 4?

Larger because 4 x 1 is already 4.  
400
9 3/7
66/7
400

8 x 3/8

3

400

Mrs. P has a large My Little Pony collection. She got out 9/14 of her ponies. She then brushed the hair of 6/9 of those ponies. What fraction of Mrs. P's My Little Ponies have beautifully brushed manes?

3/7

400

2 2/5 x  1/9

12/ 45 or 4/15

500

If I multiply a mixed number by a proper fraction, will my answer scale down or up?  Explain.

It will scale down because a proper fraction is less than 1.  

500
74/8
9 1/4
500

7 x 1/3

2 1/3

500

9/13 x 6/10

54/130  = 27/65

500
4 7/9 x 4 2/3
22 8/27
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