Final answer:
To find the total pounds of fruit Frankie bought, first convert the mixed numbers into improper fractions, find a common denominator, add the fractions, and convert back to a mixed number. Frankie bought a total of 11 5/12 pounds of fruit.
Step-by-step explanation:
The question asks us to find the total weight of the fruit that Frankie bought, which involves adding together the weights of cherries and grapes. First, we need to make sure that both quantities are in the same form, either both as improper fractions or mixed numbers, which they already are. Then, we convert them into improper fractions for easier addition.
Frankie bought 6 9/12 pounds of cherries. To convert this into an improper fraction, we multiply the whole number (6) by the denominator (12) and add the numerator (9) which gives us 6*12 + 9 = 72 + 9
= 81/12 pounds of cherries.
She also bought 4 4/6 pounds of grapes. Converting this into an improper fraction we get 4*6 + 4 = 24 + 4
= 28/6 pounds of grapes. Before adding the fractions, we need a common denominator. The lowest common denominator for 12 and 6 is 12. So, we convert 28/6 into a fraction with a denominator of 12, which is 56/12 pounds of grapes.
Now, we add the two amounts of fruit: 81/12 + 56/12 = 137/12.
To convert this back into a mixed number we divide 137 by 12 which gives us 11 with a remainder of 5. So, Frankie bought a total of 11 5/12 pounds of fruit.