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

Answer:

$4\frac{1}{12}$ miles.

Step-by-step explanation:

The goal of the family is to hike $11 \frac{2}{3}$ miles in total. Converting this to an improper fraction, we need a total of  $\frac{35}{3}$ miles.

On Monday the family completed $2 \frac{1}{12}$ miles, or $\frac{25}{12}$ miles.

On Tuesday the family completed $2 \frac{1}{3}$ miles, or $\frac{7}{3}$ miles.

On Wednesday the family completed $3 \frac{1}{6}$ miles, or $\frac{19}{6}$ miles.

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

$distance= \frac{25}{12} + \frac{7}{3} + \frac{19}{6}$

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 $\frac{25}{12}$ already has a denominator of 12.

Tuesday's distance is $\frac{7 * 4}{3 * 4} = \frac{28}{12}$.

Wednesday's distance is $\frac{19 * 2}{6 * 2} = \frac{38}{12}$.

Convert the total distance goal to have a denominator of 12 as well. $\frac{35 * 4}{3 * 4} = \frac{140}{12}$.

Sum the total distance the family has walked on Monday-Wednesday. $\frac{25}{12} + \frac{28}{12} + \frac{38}{12} = \frac{91}{12}$.

Subtract this value from the total hiking distance. $\frac{140}{12} - \frac{91}{12} = \frac{49}{12}$. The family needs to walk $\frac{49}{12}$ miles, or $4 \frac{1}{12}$ 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