Question

choose the correct symbol to make the following statement true. $10\frac{3}{8}-7\frac{3}{5}\square2\frac{3}{8}$ with options >, <, =

Explanation:

Step1: Convert to improper fractions

$10\frac{3}{8}=\frac{83}{8}$, $7\frac{3}{5}=\frac{38}{5}$, $2\frac{3}{8}=\frac{19}{8}$

Step2: Calculate left-hand side value

Find common denominator 40:
$\frac{83}{8}-\frac{38}{5}=\frac{83\times5}{40}-\frac{38\times8}{40}=\frac{415-304}{40}=\frac{111}{40}=2.775$

Step3: Convert right-hand side to decimal

$\frac{19}{8}=2.375$

Step4: Compare the two values

$2.775 > 2.375$

Answer:

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