Miss clara runs a catering business she's buying fruit to make a large order for fruit salad she buys 5 3/10 pounds of apples three 4/10 pounds of oranges to 1/10 pounds of bananas for 3/10 pound of green apples and 5/14 pound of red grapes how many pounds of fruits did miss clary buy in all

Miss Clara bought:

5 3/10 pounds of apples
3 4/10 pounds of oranges
1/10 pounds of bananas
3/10 pounds of green apples
5/14 pounds of red grapes

To find out how many pounds of grapes Miss Clara bought in all, we just have to add up all the amounts of fruit that she bought.

Clara's total pounds of fruit = 5 3/10 + 3 4/10 + 1/10 + 3/10 + 5/14

First, we shall add the mixed numbers together.  5  3/10 + 3 4/10 = 8 7/10.  Therefore,

Clara's total pounds of fruit=8 7/10 + 1/10 +3/10 + 5/14

Next, we shall add up the fractions with common denominators.  1/10+ 3/10 = 4/10.  Therefore,

Clara's total pounds of fruit = 8 7/10 + 4/10 + 5/14

After that, we should add the mixed numbers and fractions with common denominators.  8 7/10 + 4/10 = 9 1/10.  Therefore,

Clara's total pounds of fruit = 9 1/10 + 5/14

Finally, we must add up the remaining terms.  9 1/10 + 5/14 = 9 16/35.  

Therefore, Miss Clara bought 9 16/35 pounds of fruit in all.