A canton of orange juice holds 10 cups. A recipe for fruit smoothies requires #1 1/4# cups of orange juice. How many recipes could you make with the carton of orange juice?

1 Answer

8

Explanation:

To find the number of #1 1/4# cups that are in 10 cups, we divide:

#10 -: 1 1/14#

Let's turn those into improper fractions so that they are easier to work with:

#10/1 -: 5/4#

When dividing by a fraction, we can multiply by its reciprocal:

#10/1 xx 4/5#

Let's do the cancellation between the 10 and the 5:

#cancel10^2/1 xx 4/cancel5=8#