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.

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.
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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