42.7k views
5 votes
John and Ellen bought a big pizza. Ellen are 2/4 of the pizza and John ate 1/3 of pizza. How much did they eat all together? How much was left over? ( hint 12 is the lowest common denominator)

(I put 1/4 but it said it was wrong:/) pls help h

User Drew Reese
by
3.8k points

2 Answers

1 vote

Answer:

How much did they eat all together? 5/6

How much was left over? 1/6


\\

Step-by-step explanation:

How much did they eat all together?


(2)/(4) + (1)/(3) \\ = (6)/(12) + (4)/(12) \\ = (10)/(12) \\ = (5)/(6)


\\

How much was left over?


1 - (5)/(6) \\ = (6)/(6) - (5)/(6) \\ = (1)/(6)

User Ritwik Bose
by
2.9k points
2 votes

Answer:

Pizza eaten together: 5/6,

Pizza left over: 1/6

Explanation:

~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~

1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra

2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.

3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = Pizza eaten together: 5/6

4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the Partition Postulate. In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).

5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = Pizza left over: 1/6

User Oleksandr Kozlov
by
3.3k points