David has 3 1/2 cups of blueberries. He uses 1/4 of a cup of blueberries to make a breakfast smoothie. He uses 1/2 of the remaining blueberries to make blueberry pancakes. How many cups of blueberries does he use for the pancakes.

Respuesta :

Answer:

[tex]1\frac{5}{8}[/tex] cup of blueberries

Step-by-step explanation:

Since David starts out with 3 1/2 cups of blueberries and uses 1/4 cup to make a smoothie, we will need to subtract 1/4 from his starting amount of 3 1/2

  • [tex]3\frac{1}{2}-\frac{1}{4} =3\frac{1}{4}[/tex] David now has 3 1/4 cup of blueberries

David then uses half of this new amount of blueberries to make his pancakes. We will need to divide by 2 in order to figure out how much half is

  • First we can turn 3 1/4 into an improper fraction to make it easier to work with → 3 1/4 = 13/4
  • Now dividing 13/4 by 2 gives us [tex]\frac{\frac{13}{4} }{2} =(\frac{13}{4})(\frac{1}{2}) = \frac{13}{8}[/tex]
  • David used 13/8 cups of blueberries to make his pancakes
  • Turning this back into a mixed number leaves him with 1 5/8 cup of blueberries

Answer:

1 5/8

Step-by-step explanation: