Question

PLEASE HELP! 3. Edward’s recipe for salad uses a ratio of cups of lettuce to lb of tomatoes. (a) Use a complex fraction to compare the amount of lettuce to the amount of tomatoes. (b) Determine how many cups of lettuce Edward needs to mix with 1 lb of tomatoes. Show your work.

Answer 1

(a) Complex fractions contain fractions as the numerator and denominator. For example, Edward's recipe for salad requires 3 3/4 cups of lettuce to 1 1/2 pounds of tomatoes.. Then the ratio would be

(3*2/3)/(1*3/4)

(b) We convert the complex fractions to improper fractions. The numerator would be (denominator*whole number)+numerator. The denominator remains as is.

3 2/3 = [(3*3)+2]/3 = 11/3
1 3/4 = [(4*1)+3]/4 = 7/4

So, if Edward has 1 lb of tomatoes,



`1 \ lb( ( (11)/(3) )/(7/4) )=1lb( (11)/(3)* (7)/(4) )= (44)/(21)`

Therefore, Edward needs 44/21 or an estimate of 2 cups of lettuce.