Question

hexagon b is a scaled copy of hexagon a. what scale factor takes hexagon a to hexagon b?

Explanation:

Step1: Convert mixed numbers to improper fractions

Hexagon A side: \(1\frac{3}{5}=\frac{1\times5 + 3}{5}=\frac{8}{5}\)
Hexagon B side: \(2\frac{3}{5}=\frac{2\times5+3}{5}=\frac{13}{5}\)

Step2: Calculate the scale factor

Scale factor \(=\frac{\text{Side of Hexagon B}}{\text{Side of Hexagon A}}=\frac{\frac{13}{5}}{\frac{8}{5}}\)
Since dividing by a fraction is multiplying by its reciprocal, \(\frac{\frac{13}{5}}{\frac{8}{5}}=\frac{13}{5}\times\frac{5}{8}=\frac{13}{8} = 1.625\)

Answer:

\(1.625\)