Answer: Eric still needs [tex]\frac{3}{14}[/tex] of a deck.
Step-by-step 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:
[tex]2=2*1\\7=7*1[/tex]
[tex]LCM=2*7*1=14[/tex]
- Now, you can make the subtraction:
[tex]\frac{(7*1)-(2*2)}{14}=\frac{7-4}{14}=\frac{3}{14}[/tex]
Therefore, he still needs [tex]\frac{3}{14}[/tex] of a deck.
