Question

7 $7\frac{2}{5}-3\frac{1}{2}$

Explanation:

Step1: Convert mixed numbers to improper fractions

\(7\frac{2}{5}=\frac{7\times5 + 2}{5}=\frac{37}{5}\)
\(3\frac{1}{2}=\frac{3\times2 + 1}{2}=\frac{7}{2}\)

Step2: Find a common denominator (10) and subtract

\(\frac{37}{5}-\frac{7}{2}=\frac{37\times2}{5\times2}-\frac{7\times5}{2\times5}=\frac{74}{10}-\frac{35}{10}=\frac{74 - 35}{10}=\frac{39}{10}\)

Step3: Convert back to mixed number

\(\frac{39}{10}=3\frac{9}{10}\)

Answer:

\(3\frac{9}{10}\)