To add the fractions \( \frac{3}{4} \) and \( \frac{2}{5} \), we first need to find a common denominator. The denominators here are 4 and 5. The least common multiple of 4 and 5 is 20.
Next, we convert both fractions to have this common denominator:
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For \( \frac{3}{4} \): \[ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \]
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For \( \frac{2}{5} \): \[ \frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20} \]
Now we can add the two fractions: \[ \frac{15}{20} + \frac{8}{20} = \frac{15 + 8}{20} = \frac{23}{20} \]
So, the result in the form of a mixed number is: \[ \frac{23}{20} = 1 \frac{3}{20} \]
Since you requested a format of \[ ? [?]/[?] \], we can express the final answer as: \[ 1 \frac{3}{20} \]
Thus, the answer is: \[ 1 \frac{3}{20} \] where \( 1 \) is the whole number, \( 3 \) is the numerator, and \( 20 \) is the denominator.