Luke is making pancakes the recipe calls for 0.5 quarts of milk and 2.5 cups of flour he has 3/8 quart of milk and 18/8 cups of flour Luke makes the recipe with his milk and flour that he has explain his error
.5 = 5/10= 1/2 3/8 is less than 1/2
18/8 = 2 1/4 or 2.25
Luke's error lies in the fact that he doesn't have enough milk and flour to follow the recipe accurately. Let's break down the quantities mentioned:
The recipe calls for 0.5 quarts of milk, and Luke only has 3/8 quart of milk. To compare the two quantities, we need to make sure they have the same unit of measurement. Since there are 8 cups in a quart, we can convert the recipe's milk measurement to cups: 0.5 quarts * 8 cups/quart = 4 cups.
Now, if we compare the 4 cups required by the recipe with the 3/8 quart (which is equivalent to 3/8 * 8 cups = 3 cups) that Luke has, we can see that he has less than the required quantity of milk. He is short by 1 cup.
Similarly, the recipe calls for 2.5 cups of flour, and Luke has 18/8 cups (or 9/4 cups) of flour. This time, Luke has more flour than necessary. To compare, we need to convert the recipe's flour measurement to cups using the fact that there are 2 cups in a pint: 2.5 cups * 1 pint/2 cups = 1.25 pints.
Converting this to cups, we have 1.25 pints * 2 cups/pint = 2.5 cups. Therefore, the recipe requires 2.5 cups of flour, which is exactly what Luke has.
In summary, Luke's error is that he does not have enough milk to follow the recipe correctly. He is short by 1 cup of milk. However, he does have the correct quantity of flour.