Question

can someone help me with this question I tried all apps and it gives me the wrong answer, the due date is today plus its half of my grade if u helped ilysm u saved my life

Answer 1

`4(1)/(12)` miles.

Explanation:

The goal of the family is to hike
`11 (2)/(3)` miles in total. Converting this to an improper fraction, we need a total of
`(35)/(3)` miles.

On Monday the family completed
`2 (1)/(12)` miles, or
`(25)/(12)` miles.

On Tuesday the family completed
`2 (1)/(3)` miles, or
`(7)/(3)` miles.

On Wednesday the family completed
`3 (1)/(6)` miles, or
`(19)/(6)` miles.

Next, we can add the total amount of hiking the family has completed from Monday-Wednesday.

`distance= (25)/(12) + (7)/(3) + (19)/(6)`

In order to add these values, we need to convert all of the fractions so that they have the same denominator. The least common multiple (LCM) of 12, 3, and 6 is 12, so the fractions can all be converted into having a denominator of 12.

Monday's distance
`(25)/(12)` already has a denominator of 12.

Tuesday's distance is
`(7 * 4)/(3 * 4) = (28)/(12)`.

Wednesday's distance is
`(19 * 2)/(6 * 2) = (38)/(12)`.

Convert the total distance goal to have a denominator of 12 as well.
`(35 * 4)/(3 * 4) = (140)/(12)`.

Sum the total distance the family has walked on Monday-Wednesday.
`(25)/(12) + (28)/(12) + (38)/(12) = (91)/(12)`.

Subtract this value from the total hiking distance.
`(140)/(12) - (91)/(12) = (49)/(12)`. The family needs to walk
`(49)/(12)` miles, or
`4 (1)/(12)` miles on Thursday to complete their goal.

Answer 2

As the question told , the goal of they hiking is reaching to the 11 2/3 hours of hiking which means :

The sum of the hours they hiking during those four days must equal 11 2/3 hours .

Suppose they hiking for x hours on Thursday so we have the following equation :

2 1/12 + 2 1/3 + 3 1/6 + x = 11 2/3

To simplify the addition and subtraction of fractions, we must find a common denominator between them ;

The smallest common multiple between the numbers 3, 6, and 12 is the denominator we want, which is 12. But because day 24 is easier to understand, I consider the common denominator of fractions to be 24.

2 + 2 + 3 + 1/12 + 1/3 + 1/6 + x = 11 + 2/3

7 + 2/24 + 8/24 + 4/24 + x = 11 + 16/24

7 + ( 2 + 8 + 4 )/ 24 + x = 11 + 16/24

7 + 14/24 + x = 11 + 16/24

Subtract sides minus 14/24

7 + 14/24 - 14/24 + x = 11 + 16/24 - 14/24

7 + 0 + x = 11 + 2/24

7 + x = 11 + 2/24

subtract sides minus 7

7 - 7 + x = 11 - 7 + 2/24

0 + x = 4 + 2/24

x = 4 + 1/12

x = 4 1/12