Answer:
Evening walk is shorter.
Step-by-step explanation:
We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.
Let us compare both fractions by making the same denominator.
[tex]\text{Two-thirds}=\frac{2}{3}[/tex]
[tex]\text{Two-thirds}=\frac{2\times2}{3\times2}[/tex]
[tex]\text{Two-thirds}=\frac{4}{6}[/tex]
[tex]\text{Three-sixth}=\frac{3}{6}[/tex]
Upon making common denominator, we can see that two-thirds are equal to four sixths.
Since three-sixths is less than four-sixths, therefore, evening walk is shorter.
We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.
We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.
Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.