Answer:
[tex]Expression = \frac{2}{3} * \frac{5}{4}[/tex]
Step-by-step explanation:
See attachment for number line
From the attachment, we have the following details:
The first shade of blue covered 10 blocks
The second shade of blue covered 5 further blocks which totaled to 15
So, the fraction of the blue blocks is:
[tex]Blue = \frac{10}{15}[/tex]
Divide fraction by 5/5
[tex]Blue = \frac{10/5}{15/5}[/tex]
[tex]Blue = \frac{2}{3}[/tex]
Also from the attachment:
The shaded block stopped at the fraction:
[tex]Shaded = \frac{5}{4}[/tex]
So, the expression that represents this scenario is:
[tex]Expression = Blue * Shaded[/tex]
[tex]Expression = \frac{2}{3} * \frac{5}{4}[/tex]
Option (c) answers the question
