In Mr. Phillip’s class, seventeen twenty-fourths of the students finish their
homework, whereas in Mr. Joe’s class, thirteen twenty-fourths of the students finish their
homework. How many more of the students finish their homework in Mr Phillip’s class than Mr.
Joe’s? So we essentially wanna know the difference between the two classes. That way we’ll know
how many more students actually finish their homework in Mr. Philip’s class compared to the
lesser amount that finished their homework in Mr. Joe’s class. So we will take the number of students in Mr. Phillips that finished their homework
and subtract the number of students who finished their homework in Mr. Joe’s.
So we have seventeen twenty-fourths minus thirteen twenty-fourths. Here we are
subtracting like fractions. Like fractions are fractions with the same denominator. Here our denominators are
twenty-four. So to subtract like fractions, we subtract the numerators and we keep our like
denominators, twenty-four. So seventeen minus thirteen is equal to four. And then we keep our denominator of twenty-four. However, we’re not
completely done, because four and twenty-four have a common factor. That means we can take out a
four from both. In other words, we can divide the numerator and denominator both by four. Because
four risen to four and four risen to twenty-four, which we call common factors.
Therefore, our answer is one-sixths. However, let’s go ahead and place this on a number
line to have kind of visualize our answer. Looking at this number line, we see we have thirteen twenty-fourths on the left
and seventeen twenty-fourths on the right. That’s because smaller numbers go to the left and
larger numbers go to the right on a number line. So the difference between these two fractions
is four spaces. Now we have to remember we’re looking at fractions, so that would be four
twenty-fourths. And as we said before, four twenty-fourths reduces because they both, four and
twenty-four, the numerator and denominator, both are divisible by four, which is their common
factor. So our final answer is one-sixths.