"It takes Nadia 4/9 h to complete her Language Arts homework and 2/9 h to complete her mathematics homework. Which takes longer? How much longer?"

I don't understand what I'm supposed to do... Somebody please explain >_<

which is bigger? 4 or 2?

By how much?
4 > 2 -- 4 is greater than 2
4-2 = 2 so 4 is 2 bigger than 2

It just happens that you are dealing in 1/9ths, so since 4 > 2,

4/9 > 2/9
and
4/9 - 2/9 = 2/9

im lost

How much bigger is 4/9 than 2/9?

@jj its 2/9 more

To determine which homework takes longer for Nadia, we need to compare the time she spends on Language Arts and mathematics homework. Given that it takes Nadia 4/9 of an hour to complete her Language Arts homework and 2/9 of an hour to complete her mathematics homework, we can compare the fractions.

To compare fractions, we need to have a common denominator. In this case, the least common denominator of 9 is already present in both fractions.

Now, we can compare the numerators of the fractions. Since 4/9 is greater than 2/9, it means that Nadia spends more time on her Language Arts homework than on mathematics.

To find out how much longer she spends on Language Arts, we subtract the time spent on mathematics from the time spent on Language Arts:

Time spent on Language Arts - Time spent on mathematics = (4/9) - (2/9)

Simplifying the expression:

4/9 - 2/9 = (4-2)/9 = 2/9

Therefore, Nadia spends 2/9 of an hour longer on her Language Arts homework compared to mathematics.