There are 7 1/2 bottles of lemonade. Each bottle holds 1 5/6 quarts. How many quarts of lemonade are there?

There are 13³/₄ quarts of lemonade.

In decimal form, that is 13.75 quarts.

Step-by-step explanation:

Multiply 7 1/2 times 1 5/6

It may be good to change the mixed numbers to improper fractions:

7¹/₂ becomes 15/2  and 1⁵/₆ becomes 11/6

15/2 × 11/6 = 165/12

Changing that back to a mixed number involves dividing

165÷12 = 13 with a remainder of 9.

Make a fraction of the remainder as the numerator and 12 as the denominator. 9/12.

Then simplify: 9/12 = 3/4

Assemble the mixed number: 13³/₄

Another way is to change the fractions to decimals and calculate:

7.5 × 1.833 = 13.7475.  Round to 13.75 and change back to a fraction if required.