A tea shop brewed 12 3/4 pitchers of chamomile tea, of which it sold 10 7/12 pitchers. How many pitchers remained unsold?Write your answer as a fraction or as a whole or mixed number.
Question
A tea shop brewed 12 3/4 pitchers of chamomile tea, of which it sold 10 7/12 pitchers. How many pitchers remained unsold?Write your answer as a fraction or as a whole or mixed number.
Solution
To find out how many pitchers of chamomile tea remained unsold, we need to subtract the amount sold from the total amount brewed.
First, let's convert the mixed numbers to improper fractions to make the calculation easier.
12 3/4 = (12 * 4 + 3) / 4 = 51/4 10 7/12 = (10 * 12 + 7) / 12 = 127/12
Now, let's find a common denominator for these two fractions. The least common multiple of 4 and 12 is 12. So, we'll convert 51/4 to a fraction with 12 as the denominator.
51/4 = (51 * 3) / (4 * 3) = 153/12
Now, we can subtract the amount of tea sold from the total amount brewed.
153/12 - 127/12 = 26/12
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
26/12 = 13/6
So, 13/6 pitchers of chamomile tea remained unsold. This can also be written as the mixed number 2 1/6.
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