HESI Multiplication of Fractions

4 4/5 x 1 4/6 =

8

1 8/12 x 4 1/2 =

7 1/2

7/9 x 1/9 =

7/81

6 x 4/5 =

4 4/5

Alec has six friends who each give him 2 3/4 pieces of gun. How many pieces of gum does Alec have now?

16 1/2

2 1/8 x 7 5/6 =

2 1/8 x 7 5/6 17/8 x 47/6 = 799/48 799/48= 16 31/48 1. Change the mixed number into improper fractions 2 +5/x6 = (7 x 6) +5 = 47 > 47/6 2. Multiply the numerators and the denominators together. 17 x 47 =799 (numerator). 8 x 6 = 48 (denominator) Change the improper fraction into a mixed number.

3/5 x 2/3 =

2/5

Rick rides 11 1/8 miles in an hour with his bike in second gear going uphill. If Rick rides downhill in fourth gear he goes 2 1/2 times faster. How many miles will Rick go in an hour downhill in fourth gear?

27 13/16

2 1/7 x 1 3/4 =

3 3/4

4/5 x 1/2 =

4/5 x 1/2 = 4/10 = 2/5 1. Multiply the numerators together: 4 x 1= 4 2. Multiply the denominators together: 5 x 2 = 10 3. Reduce the product by using the greatest common factor: 4/10 / 2/2 = 2/5

5 x 4/3 =

5/1 x 4/13 = 20/13 = 1 7/13 1. Make the whole number 5 into a fraction by placing a 1 as the denominator. 2. Multiply the numerators: 5 x = 20 3. Multiply the denominators: 1 x 13 = 13. 4. Change the improper fraction into a mixed number.

3 1/3 x 2 =

6 2/3

1 2/5 x 5 =

7

HESI Hint:

Multiplying fractions is no problem. Top times top and bottom times bottom. To change an improper fraction into a mixed number, divide the numerator by the denominator. 20/13 > 1 7/3 The quotient becomes the whole number. The remainder becomes the numerator, and the denominator stays the same.