At Lucy's Restaurant,1 3/4 a serving of tomato soup is cups. Lucy makes 63 cups of tomato soup
each day. How many servings of tomato soup does she make?
63/1.75 = ______ servings
36
To find the number of servings of tomato soup Lucy makes, we need to divide the total number of cups of soup by the number of cups in a serving.
First, let's convert the given mixed fraction, 1 3/4, to an improper fraction. To do this, we multiply the whole number (1) by the denominator (4) and add the numerator (3). Therefore, 1 3/4 is equivalent to (1 * 4 + 3)/4, which equals 7/4.
Now we can calculate the number of servings of tomato soup. Since 1 3/4 cups is equal to 7/4 cups, and Lucy makes 63 cups of tomato soup each day, we can use a division to find the number of servings:
63 cups / (7/4 cups/serving)
To divide by a fraction, we multiply by its reciprocal - flip it over. So, we can rewrite the division as multiplication:
63 cups * (4/7 cups/serving)
By multiplying the numerators (63 * 4) and denominators (7 * 1), we get:
252/7 cups.
Simplifying the fraction, we find that 252/7 is equal to 36. Therefore, Lucy makes 36 servings of tomato soup each day.