There are 10 1/2 gallons of water in Whitney's fish tank. If Whitney adds 6 1/3 gallons more, how many gallons will there be in all?
Write your answer as a fraction or as a whole or mixed number.
gallons
To find the total number of gallons in Whitney's fish tank, we need to add 10 1/2 gallons + 6 1/3 gallons.
To add the fractions, we need to have a common denominator. The least common multiple of 2 and 3 is 6.
10 1/2 written as an improper fraction is (2 * 10 + 1) / 2 = 21 / 2
6 1/3 written as an improper fraction is (3 * 6 + 1) / 3 = 19 / 3
Now we can add the fractions: 21 / 2 + 19 / 3
To add fractions, we need a common denominator. The common denominator is 2 * 3 = 6.
21 / 2 = 63 / 6
19 / 3 = 38 / 6
Now we can add the fractions: 63 / 6 + 38 / 6 = 101 / 6
So there will be 101/6 gallons in Whitney's fish tank.