Last week an organic produce farm delivered 11 and 38 pounds

Last week, an organic produce farm delivered 11 and 3/8 pounds of green leaf lettuce, 13 and 7/16 pounds of romaine lettuce, and 9 and 5/6 pounds of red leaf lettuce. What was the total weight (in pounds) of the lettuce delivered?

Enter the answer as a mixed number in lowest terms.

Solution

1. Green Leaf Lettuce = 11 and 3/8 pounds. Converting to simple fraction = ((11*8)+3)/8 = 91/8 pounds

2. Romaine Lettuce = 13 and 7/16 pounds = ((13*16)+7)/16 = 215/16 pounds

3. Red Leaf Lettuce = 9 and 5/6 pounds = ((9*6)+5)/6 = 59/6 pounds

Adding all three = 91/8 + 215/16 + 59/6 = 546/48 + 645/48 + 472/48 => Multiply 91/8 by 6/6, 215/16 by 3/3 and 59/6 by 8/8

= 1663/48

= 34 and 31/48 pounds.