Question

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

Answer 1

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.