Alexis bought 4&5/8

litres of milk and drank 1&2/7
litres of it. How much milk was left?

1 answer

To solve this problem, we need to subtract the amount of milk that Alexis drank from the amount of milk she bought.

First, let's convert the mixed numbers to improper fractions:

4&5/8 = (8*4 + 5) / 8 = 37/8
1&2/7 = (7*1 + 2) / 7 = 9/7

Now, let's subtract the fractions:

37/8 - 9/7 = (37*7 - 9*8) / (8*7) = (259 - 72) / 56 = 187/56

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 11:

187/56 = (11*17) / (7*8) = 187/56 = 17/5

So, there are 17/5 liters of milk left.