Question

Eric needs 1/2 deck of playing cards for a magic trick. He only has 2/7 of a deck. What fraction of a deck does Eric still need?

Answer 1

Answer: Eric still needs
`(3)/(14)` of a deck.

Explanation:

You know that:

- Eric need 1/2 deck of playing cards.

- Eric has 2/7 of a deck.

Therefore, to find the fraction of a deck that Eric still needs, you must subtract 1/2 and 2/7:

- Find the least common multiple of the denominators:

`2=2*1\\7=7*1`

`LCM=2*7*1=14`

- Now, you can make the subtraction:

`((7*1)-(2*2))/(14)=(7-4)/(14)=(3)/(14)`

Therefore, he still needs
`(3)/(14)` of a deck.