jason mixed 3/8 cup of sugar with 1 5/6 cups of water. how many more cups of water than sugar did he use in his mixture?
3/8 = 9/24
1 5/6 = 1 20/24
1 20/24 = 9/24 = 1 11/24
1 5/6- 3/8=
1 5/6= 11/6
6 and 8 both go into 24
3/8= 9/24
11/6=44/24
44/24-9/24= 35/24=1 14/24
Mia --
??
35/24 = 1 14/24???
To find out how many more cups of water than sugar Jason used in his mixture, we need to subtract the amount of sugar from the amount of water.
First, let's convert the mixed numbers (1 5/6) and the fraction (3/8) into improper fractions for easier calculation.
1 5/6 can be written as (6 * 1 + 5)/6 = 11/6
3/8 remains as it is.
Now, we can subtract the amount of sugar (3/8) from the amount of water (11/6):
11/6 - 3/8
To subtract fractions, we need to have a common denominator. The least common denominator for 6 and 8 is 24.
Converting both fractions to have a denominator of 24:
11/6 = (11 * 4)/(6 * 4) = 44/24
3/8 = (3 * 3)/(8 * 3) = 9/24
Now, we can subtract the fractions:
44/24 - 9/24 = (44 - 9)/24 = 35/24
Therefore, Jason used 35/24 cups more water than sugar in his mixture.
To further simplify this fraction, we can express it as a mixed number. Divide the numerator (35) by the denominator (24):
35 ÷ 24 = 1 remainder 11
So, the final answer is:
Jason used 1 11/24 cups more water than sugar in his mixture.