Respuesta :

Answer:

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Step-by-step explanation:

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Answer:

[tex]\frac{37}{60}[/tex]

Step-by-step explanation:

To solve [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{5}[/tex] + [tex]\frac{1}{4}[/tex], you need to find the Least Common Multiple of 6, 5, and 4, which is 60.

In other words, we can convert all denominators to 60:

[tex]\frac{1}{6}[/tex] multiply by [tex]\frac{10}{10}[/tex] to get [tex]\frac{10}{60}[/tex]

[tex]\frac{1}{5}[/tex] multiply by [tex]\frac{12}{12}[/tex] to get [tex]\frac{12}{60}[/tex]

[tex]\frac{1}{4}[/tex] multiply by [tex]\frac{15}{15}[/tex] to get [tex]\frac{15}{60}[/tex]

Then, we can add them all like this:

[tex]\frac{10}{60} + \frac{12}{60} + \frac{15}{60} = \frac{37}{60}[/tex]

So the answer is [tex]\frac{37}{60}[/tex]

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