Problem

Evaluate: \[ \frac{1 \frac{2}{5}+\frac{2}{3}}{2-\frac{3}{2}} \]

Solution

Step 1 :Convert the mixed number to an improper fraction: \(1 \frac{2}{5} = \frac{7}{5}\)

Step 2 :Add the improper fraction to the other fraction in the numerator: \(\frac{7}{5} + \frac{2}{3} = \frac{21}{15} + \frac{10}{15} = \frac{31}{15} = 2.0666666666666664\)

Step 3 :Subtract the two numbers in the denominator: \(2 - \frac{3}{2} = \frac{4}{2} - \frac{3}{2} = \frac{1}{2} = 0.5\)

Step 4 :Divide the simplified numerator by the simplified denominator to get the final answer: \(\frac{2.0666666666666664}{0.5} = 4.133333333333333\)

Step 5 :Final Answer: \(\boxed{4.133333333333333}\)

From Solvely APP
Source: https://solvelyapp.com/problems/17207/

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