To find the total amount of liquid needed, we need to add the amounts of water, vinegar, and liquid detergent together.
First, let's convert the mixed numbers to improper fractions:
3 and two-thirds cups of distilled water = 3 + 2/3 = 9/3 + 2/3 = 11/3 cups of water
1 and three-fourths cups of vinegar = 1 + 3/4 = 4/4 + 3/4 = 7/4 cups of vinegar
Two-thirds cups of liquid detergent = 2/3 cups of detergent
Now, let's add the fractions together:
11/3 + 7/4 + 2/3
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 12.
Converting the fractions to have a denominator of 12:
11/3 = (11/3) * (4/4) = 44/12
7/4 = (7/4) * (3/3) = 21/12
2/3 = (2/3) * (4/4) = 8/12
Adding the fractions:
44/12 + 21/12 + 8/12 = 73/12
Now, let's convert the improper fraction back to a mixed number:
73/12 = 6 and 1/12
Therefore, the total amount of liquid needed is 6 and 1/12 cups.
The answer is D. 6 and 1/12.
A science experiment calls for mixing 3 and two-thirds cups of distilled water with 1 and three-fourths cups of vinegar and Two-thirds cups of liquid detergent. How much liquid in all, in cups, is needed?
A. 2 and StartFraction 1 over 12 EndFraction
B. 4 and StartFraction 1 over 12 EndFraction
C. 5 and StartFraction 1 over 12 EndFraction
D. 6 and StartFraction 1 over 12 EndFraction
1 answer