extended response: Dekendra is keeping a log of the miles she walks each day. So far, she walked 2/3 mileon Saturday, 1 3/4 mile on monday, 1/2 mile on tuesday, 2 1/8 mile on wednesday, 1 5/8 mile on thursday, and 5/6 mile on friday?
What is your school subject? What is your question?
extended response: Dekendra is keeping a log of the miles she walks each day. So far, she walked 2/3 miles on Saturday, 1 3/4 mile on monday, 1/2 mile on tuesday, 2 1/8 mile on wednesday, 1 5/8 mile on thursday, and 5/6 mile on friday? How do i plot the distances on the number line stating 0 through 3? Please show me. thank you.
To find the total distance Dekendra walked, we need to add up the distances for each day.
First, let's convert all the mixed numbers into improper fractions:
- 1 3/4 mile on Monday = (1 * 4 + 3) / 4 = 7/4 mile
- 2 1/8 mile on Wednesday = (2 * 8 + 1) / 8 = 17/8 mile
- 1 5/8 mile on Thursday = (1 * 8 + 5) / 8 = 13/8 mile
Now, let's add all the distances:
2/3 mile (Saturday) + 7/4 mile (Monday) + 1/2 mile (Tuesday) + 17/8 mile (Wednesday) + 13/8 mile (Thursday) + 5/6 mile (Friday)
To add fractions with different denominators, we need to find a common denominator. In this case, the numbers 3, 4, 8, and 6 have a common denominator of 24.
Now, we can rewrite the fractions with the common denominator:
(2/3) * (8/8) = 16/24 mile (Saturday)
(7/4) * (6/6) = 42/24 mile (Monday)
(1/2) * (12/12) = 12/24 mile (Tuesday)
(17/8) * (3/3) = 51/24 mile (Wednesday)
(13/8) * (3/3) = 39/24 mile (Thursday)
(5/6) * (4/4) = 20/24 mile (Friday)
Now, let's add the fractions:
16/24 + 42/24 + 12/24 + 51/24 + 39/24 + 20/24
Adding the numerators gives us: 16 + 42 + 12 + 51 + 39 + 20 = 180
The total distance Dekendra walked is 180/24 miles.
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 12 in this case:
180/24 = (180/12) / (24/12)
= 15/2
Therefore, the total distance Dekendra walked is 15/2 miles, or 7.5 miles.