# How do you simplify #\frac { 4} { 5} + \frac { 7} { 8} #?

See a solution process below:

We can now add the numerators of the two fractions over the common denominator.

If necessary, we can convert this improper fraction into a mixed number as follows:

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To simplify (\frac{4}{5} + \frac{7}{8}), first find a common denominator, which is the least common multiple (LCM) of 5 and 8, which is 40. Then, rewrite each fraction with the common denominator:

(\frac{4}{5} \times \frac{8}{8} = \frac{32}{40})

(\frac{7}{8} \times \frac{5}{5} = \frac{35}{40})

Now, add the fractions together:

(\frac{32}{40} + \frac{35}{40} = \frac{32 + 35}{40} = \frac{67}{40})

Since the numerator is greater than the denominator, you can simplify by dividing both numerator and denominator by their greatest common divisor, which is 1 in this case:

(\frac{67}{40}) (no further simplification possible)

So, (\frac{4}{5} + \frac{7}{8} = \frac{67}{40}).

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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.

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