How do you simplify #5 2/3- 1 4/5#?
First convert these to fractions:
Next get each fraction over a common denominator:
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To simplify (5 \frac{2}{3} - 1 \frac{4}{5}), first convert both mixed numbers to improper fractions: (5 \frac{2}{3} = \frac{(5*3) + 2}{3} = \frac{15 + 2}{3} = \frac{17}{3})
(1 \frac{4}{5} = \frac{(1*5) + 4}{5} = \frac{5 + 4}{5} = \frac{9}{5})
Now, subtract the second fraction from the first one: (\frac{17}{3} - \frac{9}{5})
To subtract fractions with different denominators, find a common denominator: The least common denominator (LCD) of 3 and 5 is 15.
Rewrite the fractions with the LCD: (\frac{17}{3} = \frac{175}{35} = \frac{85}{15})
(\frac{9}{5} = \frac{93}{53} = \frac{27}{15})
Now, subtract the fractions: (\frac{85}{15} - \frac{27}{15} = \frac{85 - 27}{15} = \frac{58}{15})
So, (5 \frac{2}{3} - 1 \frac{4}{5} = 3 \frac{13}{15}).
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To simplify (5\frac{2}{3} - 1\frac{4}{5}), follow these steps:
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Convert the mixed numbers to improper fractions: (5\frac{2}{3}) as an improper fraction is ( \frac{(5 \times 3) + 2}{3} = \frac{15 + 2}{3} = \frac{17}{3} ) (1\frac{4}{5}) as an improper fraction is ( \frac{(1 \times 5) + 4}{5} = \frac{5 + 4}{5} = \frac{9}{5} )
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Subtract the fractions: (\frac{17}{3} - \frac{9}{5})
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To subtract fractions, they must have the same denominator. So, find a common denominator, which is the least common multiple (LCM) of 3 and 5, which is 15.
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Rewrite the fractions with a common denominator: ( \frac{17}{3} = \frac{17 \times 5}{3 \times 5} = \frac{85}{15} ) ( \frac{9}{5} = \frac{9 \times 3}{5 \times 3} = \frac{27}{15} )
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Now, subtract the fractions: ( \frac{85}{15} - \frac{27}{15} = \frac{85 - 27}{15} = \frac{58}{15} )
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Convert the improper fraction back to a mixed number: ( \frac{58}{15} = 3\frac{13}{15} )
Therefore, (5\frac{2}{3} - 1\frac{4}{5} = 3\frac{13}{15}).
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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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