The class collected 9 5/7 pounds of glass bottles and 6 1/2 pounds of aluminum cans. How many pounds of glass and aluminum did the class collect in all?
16 3/14?
Right.
You're welcome.
To find the total weight of glass and aluminum collected by the class, you need to add the weights of the glass bottles and aluminum cans together.
First, let's add the weights of the glass bottles and aluminum cans separately:
Glass bottles: 9 5/7 pounds
Aluminum cans: 6 1/2 pounds
To add the two fractions, you need to find a common denominator. In this case, the common denominator is 14 because both 7 and 2 divide evenly into 14.
Now, let's convert the mixed numbers into improper fractions:
Glass bottles: 9 5/7 pounds
= (7 * 9 + 5)/7
= 63/7 + 5/7
= 68/7 pounds
Aluminum cans: 6 1/2 pounds
= (2 * 6 + 1)/2
= 13/2 pounds
Next, let's add the two fractions:
68/7 pounds + 13/2 pounds
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 7 and 2 is 14.
Now, let's convert the fractions to have a common denominator of 14:
(68/7) * (2/2) = 136/14
(13/2) * (7/7) = 91/14
Now, we can add the fractions:
136/14 pounds + 91/14 pounds = (136 + 91)/14 pounds = 227/14 pounds
Finally, let's simplify the fraction:
227/14 pounds = (14 * 16 + 3)/14 pounds = 16 3/14 pounds
So, the class collected a total of 16 3/14 pounds of glass and aluminum in all.