Answer to Question #132449 in Algebra for Faith

Question

1. Compare the fractions 1/4;2/3 and 5/6 by making use of the area model.(you should be able to arrange the fractions from small to big). Make sure that you chose the whole correctly, and make accurate drawings.
2.explain what do the numerator and denominator in fraction tell us( illustrate your answer).
3. Markus travelled one-quarter of his destination.he still has to cover 24km to reach the third way mark.
3.1.how many kilometres does he still have to travel to reach the destination ( use a diagram to help you).
3.2. Identify mathematics concepts and skills (background information) that learner's need to master to be able to answer this question.

Answer 1

1.

In the fraction 1/4, one part out of 4 has been shaded.

In the fraction 2/3, two parts out of 3 have been shaded.

In the fraction 5/6, five parts out of 6 have been shaded.

Now, we arrange the fractions from small to big by area model.

2.

Fractions have numerator and denominator.

The denominator is the bottom number in the fraction and represents how many parts are possible.

The numerator is a top number in the fraction and represents how many parts you have.

So in this example you can see that The numerator is 3 and the denominator is 7.

3.

Let x be the Total distance.

Markus travelled one-quarter of his destination=x/4 (given)

To given conditions we have a equation

which is

$(x/3) - (x/4)=24$ km

Multiply both sides by 12

$4x-3x=288 km$

$x=288 km$

The Total distance is 288 kilometers.

Markus travelled one-quarter of 288km=288/4=72 kilometers

Hence, he still has to travel$=288-72=216 kilometers$