How do you compare each pair of fractions with <, > or = given #35/25, 13/10#?
First you get them to a common denominator.
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To compare ( \frac{35}{25} ) and ( \frac{13}{10} ), first, find a common denominator:
( \frac{35}{25} ) simplifies to ( \frac{7}{5} ).
Now, we can compare ( \frac{7}{5} ) and ( \frac{13}{10} ):
To compare fractions, it's helpful to have them with the same denominator. We can rewrite ( \frac{13}{10} ) as ( \frac{13}{10} = \frac{13 \times 2}{10 \times 2} = \frac{26}{20} ).
Now, we can see that ( \frac{7}{5} ) is equivalent to ( \frac{14}{10} ).
Comparing ( \frac{14}{10} ) and ( \frac{26}{20} ):
- ( \frac{14}{10} = \frac{26}{20} ): The fractions are equal.
So, ( \frac{35}{25} = \frac{13}{10} ).
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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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