Interpret Multiplication as scaling (resizing)
Product is Less Than Both Factors
4/5 X 1/3
6/7 X 5/10
2/5 X 3/4
1/4 X 1/ 2
3/8 X 1/2
When you multiply two fractions that are less than w, the product is smaller than both factors.
Product is Greater Than Both Factors
7/3 X 1 2/5
1 3/4 X 1 1/12
1 7/8 X 6 2/3
4 1/20 X 2 1/2
2 5/6 X 5 2/7
When you multiply two mixed numbers, the product is larger than both factors.
Product is Greater Than One Factor and Less Than the Other Factor
1 2/5 X 2/5
2 1/5 X 1/3
5/6 X 4 7/8
3 3/4 X 1/2
3/4 X 7/3
When you multiply a fraction greater than 1 and a fractions less than 1, the product is smaller than one factor, but larger than the other.
4/5 X 1/3
6/7 X 5/10
2/5 X 3/4
1/4 X 1/ 2
3/8 X 1/2
When you multiply two fractions that are less than w, the product is smaller than both factors.
Product is Greater Than Both Factors
7/3 X 1 2/5
1 3/4 X 1 1/12
1 7/8 X 6 2/3
4 1/20 X 2 1/2
2 5/6 X 5 2/7
When you multiply two mixed numbers, the product is larger than both factors.
Product is Greater Than One Factor and Less Than the Other Factor
1 2/5 X 2/5
2 1/5 X 1/3
5/6 X 4 7/8
3 3/4 X 1/2
3/4 X 7/3
When you multiply a fraction greater than 1 and a fractions less than 1, the product is smaller than one factor, but larger than the other.
Any number multiplies by a fraction less than 1 results in a product less than the given number
2/3 X 2
1/8 X 2
4/7 X 2
2 X 5/6
2 X 1/4
Any number multiplied by a fraction greater than 1 results in a product greater than the given number
3/2 X 2
2 5/6 X 2
5 X 2
1 1/4 X 2
12 X 2
4 X 2
10/5 X 2
Any product multiplied by a fraction equal to 1 results in a product equal to the given number
7/7 X 2
1 X 2
2 X 3/3
2 X 9/9
2 X 100/100
2/3 X 2
1/8 X 2
4/7 X 2
2 X 5/6
2 X 1/4
Any number multiplied by a fraction greater than 1 results in a product greater than the given number
3/2 X 2
2 5/6 X 2
5 X 2
1 1/4 X 2
12 X 2
4 X 2
10/5 X 2
Any product multiplied by a fraction equal to 1 results in a product equal to the given number
7/7 X 2
1 X 2
2 X 3/3
2 X 9/9
2 X 100/100