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What is 3 1/3 -2 2/5?

Answer – The solution to $3 \frac{1}{3} - 2 \frac{2}{5}$ is $\frac{14}{15}$ .

Explanation:

The given question requires us to know how to subtract mixed fractions, which in this case are $3 \frac{1}{3}$ and $2 \frac{2}{5}$ . To subtract one from the other, we need to convert both to improper fractions.

For this, we multiply the denominator of each mixed fraction by the whole number in it. Then, we add the product obtained to the numerator of the fraction. This gives us the numerator of the equivalent improper fraction. The denominator stays the same as in the mixed fraction form.

So $3 \frac{1}{3} = \frac{(3 \times 3) + 1}{3} = \frac{10}{3}$

Similarly, $2 \frac{2}{5} = \frac{(5 \times 2) + 2}{5} = \frac{12}{5}$

Now, to solve $\frac{10}{3} - \frac{12}{5}$ , we need a common denominator for both fractions. For this, we find the least common multiple of the denominators 3 and 5, which is 15.

So $3 \frac{1}{3} - 2 \frac{2}{5} = \frac{10}{3} - \frac{12}{5} = \frac{50 - 36}{15} = \frac{14}{15}$

Thus, the answer to the given question is $\frac{14}{15}$ .

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