Question

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. The rest of each scarf has an equal amount of white and blue. Describe how Amanda could make her argument that her scarf has the most yellow.

Answer 1

Answer:

$\frac{8}{20}$

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.

$\text{Dena's scarf}=\frac{2}{5}\Rightarrow\frac{2*4}{5*4}=\frac{8}{20}$

$\text{Shawn's scarf}=\frac{3}{5}\Rightarrow\frac{3*4}{5*4}=\frac{12}{20}$

$\text{Amanda's scarf}=\frac{3}{4}\Rightarrow\frac{3*5}{4*5}=\frac{15}{20}$

Since $\frac{8}{20}$ , therefore, Amanda's scarf has the most yellow.