A grocery store has 5 pounds of granola. One customer buys 2/3 pound of granola and another buys 5/6 pound. After these purchases, how much granola is left?
2/3 = 4/6
4/6 + 5/6 = 9/6 = 1 1/2
5 - 1 1/2 = ?
ms. sue - thank you
To find out how much granola is left after the purchases, we need to subtract the amounts purchased from the initial amount of granola.
The initial amount of granola is 5 pounds.
The first customer buys 2/3 pound of granola. We need to convert this fraction to a common denominator with the pound measurement. The common denominator of 3 and 1 is 3. So, we can rewrite 2/3 as (2/3) * (1/1) = (2/3) * (1/1) * (3/3) = (2/3) * (3/3) = 6/9 pound.
The second customer buys 5/6 pound of granola. Similarly, we need to convert this fraction to a common denominator with the pound measurement. The common denominator of 6 and 1 is 6. So, we can rewrite 5/6 as (5/6) * (1/1) = (5/6) * (1/1) * (6/6) = (5/6) * (6/6) = 30/36 pound.
Now, let's calculate the sum of the amounts purchased: (6/9 + 30/36) pound.
To add fractions, we need a common denominator. The common denominator of 9 and 36 is 36. So, we can rewrite 6/9 as (6/9) * (4/4) = (6/9) * (4/4) * (4/4) = (6/9) * (4/4) = 24/36 pound.
Now, let's add the fractions: (24/36 + 30/36) pound = 54/36 pound.
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 18 in this case): (54/18) * (1/1) = 3/1 pound = 3 pounds.
Therefore, after the purchases, there is 5 pounds - 3 pounds = 2 pounds of granola left in the grocery store.
3.5 lbs of granola is left.
2/3+5/6= 2(2/3)= 4/6+5/6= 9/6=1 & 3/6
4 & 6/6- 1 & 3/6= 3 & 3/6, 3 & 1/2
5- 1&1/2= 3.5 lbs