Question

2 7 2
8 3

Explanation:

Step1: Convert mixed number to improper fraction

To convert \(2\frac{7}{8}\) to an improper fraction, we use the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). Here, \(a = 2\), \(b = 7\), and \(c = 8\). So, \(2\times8+7 = 16 + 7=23\), so \(2\frac{7}{8}=\frac{23}{8}\).

Step2: Divide by \(\frac{3}{5}\) (multiply by reciprocal)

Dividing by a fraction is the same as multiplying by its reciprocal. So, \(\frac{23}{8}\div\frac{3}{5}=\frac{23}{8}\times\frac{5}{3}\).

Step3: Multiply the numerators and denominators

Multiply the numerators: \(23\times5 = 115\). Multiply the denominators: \(8\times3 = 24\). So, \(\frac{23}{8}\times\frac{5}{3}=\frac{115}{24}\).

Step4: Convert back to mixed number (optional, but common)

Divide 115 by 24: \(24\times4 = 96\), \(115-96 = 19\). So, \(\frac{115}{24}=4\frac{19}{24}\).

Answer:

If we consider the operation \(2\frac{7}{8}\div\frac{3}{5}\), the result is \(\frac{115}{24}\) or \(4\frac{19}{24}\). (Assuming the problem is \(2\frac{7}{8}\div\frac{3}{5}\) based on the hand - written numbers in the image)