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

`(8)/(20)<(12)/(20)<(15)/(20)`

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}=(2)/(5)\Rightarrow(2*4)/(5*4)=(8)/(20)`

`\text{Shawn's scarf}=(3)/(5)\Rightarrow(3*4)/(5*4)=(12)/(20)`

`\text{Amanda's scarf}=(3)/(4)\Rightarrow(3*5)/(4*5)=(15)/(20)`

Since
`(8)/(20)<(12)/(20)<(15)/(20)` , therefore, Amanda's scarf has the most yellow.