Answer:
[tex]\frac{8}{20}<\frac{12}{20}<\frac{15}{20}[/tex]
Step-by-step explanation:
We have been given that in the after school Dena, Shawn, and Amanda knit scarfs that are the same size with yellow, white, and blue yarn. Denas scarf is 2/5 yellow, Shawn's scarf is 3/5 , and Amanda's scarf is 3/4 yellow.
To make Amanda's argument true, let us compare each fraction by making a common denominator.
We can see that least common denominator of each fraction would be 20.
[tex]\text{Dena's scarf}=\frac{2}{5}\Rightarrow\frac{2*4}{5*4}=\frac{8}{20}[/tex]
[tex]\text{Shawn's scarf}=\frac{3}{5}\Rightarrow\frac{3*4}{5*4}=\frac{12}{20}[/tex]
[tex]\text{Amanda's scarf}=\frac{3}{4}\Rightarrow\frac{3*5}{4*5}=\frac{15}{20}[/tex]
Since [tex]\frac{8}{20}<\frac{12}{20}<\frac{15}{20}[/tex] , therefore, Amanda's scarf has the most yellow.
