Question

Leah ran 5/7 of a lap and Ryan ran 2/3 of a lap. Who ran farther and by how much?

Answer 1

Leah ran further than Ryan. She ran `15/21-14/21=1/21` more of a lap.

Explanation:

Let's make the fractions equivalent. This is done by making the denominators the same, which needs a least common multiple, or the smallest value that both denominators can create from multiplying by another number.

The least common multiple of 7 and 3 is `7\cdot3=21`.

Now we convert both fractions into ones with denominator 21:
Leah ran `5/7xx3/3=15/21` of a lap.
Ryan ran `2/3xx7/7=14/21` of a lap.

Since `15/21\gt14/21`, Leah ran further than Ryan. She ran `15/21-14/21=1/21` more of a lap.