Question

cody and miko drew separate scale drawings of a step at their school. what is the scale factor from mikos drawing to codys drawing? use the measures shown in the spaces labeled for the two drawings. codys drawing: 1 1/2 in. mikos drawing: 3/4 in.

Explanation:

Step1: Convert mixed - numbers to improper fractions

Cody's measurement: $1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$ in. Miko's measurement: $ \frac{3}{4}$ in.

Step2: Calculate the scale factor

The scale factor from Miko's drawing to Cody's drawing is found by dividing Cody's measurement by Miko's measurement. So, $\text{Scale factor}=\frac{\frac{3}{2}}{\frac{3}{4}}$.
Using the rule for dividing fractions $\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}$, we have $\frac{3}{2}\times\frac{4}{3}$.
Canceling out common factors, $3$ in the numerator and denominator, and $2$ and $4$ (since $4\div2 = 2$), we get $\frac{3\times4}{2\times3}= 2$.

Answer:

$2$