Question

Malia ran 7/12 of a mile. Shona ran 3/4 of a mile. Who ran further?

Answer 1

Shona

Explanation:

Both fractions have different denominators. To get a better picture of who ran further, let's have both fractions have the same denominator.

Let's convert the smaller denominator to the bigger one.

In order to do this, we will multiply top and bottom by 3:

`(3)/(4) *(3)/(3) \\(9)/(12)`

Now, we compare the two fractions by seeing which numerator is closer to denominator.

From this comparison, the converted fraction,
`(9)/(12)` is closer to 12.

Therefore, Shona ran further.

Answer 2

Shona ran farther

Explanation:

3/4 *3/3 is 9/12 and 9/12 is bigger than 7/12