Yesterday, Just Sip Awhile Cafe sold 7 11/12 carafes of caffeinated coffee and 4 2/3 carafes of decaffeinated coffee. How many carafes of coffee did they sell in all?Write your answer as a fraction or as a whole or mixed number.
Question
Yesterday, Just Sip Awhile Cafe sold 7 11/12 carafes of caffeinated coffee and 4 2/3 carafes of decaffeinated coffee. How many carafes of coffee did they sell in all?Write your answer as a fraction or as a whole or mixed number.
Solution
To solve this problem, we need to add the two amounts of coffee sold together.
First, let's convert the mixed numbers to improper fractions:
7 11/12 = (712 + 11)/12 = 95/12 4 2/3 = (43 + 2)/3 = 14/3
Now, let's find a common denominator for these two fractions. The least common multiple of 12 and 3 is 12, so we'll use that as our common denominator.
The first fraction, 95/12, already has 12 as its denominator, so we don't need to change it.
For the second fraction, we need to multiply both the numerator and the denominator by 4 to get our equivalent fraction with a denominator of 12:
14/3 = (144)/(34) = 56/12
Now we can add the two fractions together:
95/12 + 56/12 = 151/12
This is an improper fraction, so let's convert it back to a mixed number.
12 goes into 151 12 times with a remainder of 7, so our final answer is 12 7/12.
So, Just Sip Awhile Cafe sold 12 7/12 carafes of coffee in total.
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