The number of miles that Tatutm walk her dog in 5 days is given by: Option B: 10/3 (in miles)
How to add two fractions?
Let we have to add two fractions as:
[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]
Then we will find Lowest Common Multiple (LCM) of [tex]b_1[/tex] and [tex]b_2[/tex]. That will help to make the denominators same.
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
For this case, we're given that:
- Each day, Tatum walks her dog 2/3 miles
For 5 days, the total distance her dog walked = 2/3 + 2/3 + 2/3 + 2/3 + 2/3
Since denominators are same, thus:
[tex]\dfrac{2}{3} + \dfrac{2}{3} + \dfrac{2}{3} + \dfrac{2}{3} + \dfrac{2}{3} = \dfrac{2+2+2+2+2}{3} = \dfrac{10}{3}[/tex]
We could've easily done it as: 2/3 + 2/3 + 2/3 + 2/3 + 2/3 = 5 times 2/3 = [tex]5 \times \dfrac{2}{3} = \dfrac{5 \times 2}{3} = \dfrac{10}{3}[/tex]
Thus, the number of miles that Tatutm walk her dog in 5 days is given by: Option B: 10/3 (in miles)
Learn more about fraction addition here:
https://brainly.com/question/17544795
