Respuesta :
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]