Brenda mixed together 11/12 quart of cranberry juice and 8/15 quart of ginger ale to make punch. How much punch did Brenda make?
common denominator is 15*12 = 180
11/12*15/15=165/180
8/15*12/12=96/180
165/180+96/180=261/180=29/20 quarts
or 1.45 gallons
To find out how much punch Brenda made, we need to add the amounts of cranberry juice and ginger ale together.
The first step is to make sure that the fractions have a common denominator. In this case, since the denominators are 12 and 15, we can find the least common multiple (LCM) of 12 and 15, which is 60.
Next, we need to convert the fractions so their denominators become 60.
To convert 11/12 to have a denominator of 60, we multiply the numerator and denominator by 5:
11/12 * 5/5 = 55/60
To convert 8/15 to have a denominator of 60, we multiply the numerator and denominator by 4:
8/15 * 4/4 = 32/60
Now that the fractions have a common denominator of 60, we can add them together:
55/60 + 32/60 = 87/60
However, this result is an improper fraction, meaning the numerator is greater than the denominator. To express this as a mixed number, we divide the numerator by the denominator:
87 ÷ 60 = 1 remainder 27
So, the mixed number is 1 27/60.
Now, let's simplify the fraction. Both the numerator and denominator are divisible by 3:
27/60 ÷ 3/3 = 9/20
Therefore, Brenda made 1 9/20 quarts of punch.