Respuesta :

Answer:

the lcd for both is 60 5/12 is 25/60 and 1/5 is 12/60

Step-by-step explanation:

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

What does this problem want us to solve:

   [tex]\hookrightarrow \text{Find least common denominator of 5/12 and 1/5}[/tex]

Essentially:

 [tex]\hookrightarrow \text{Find the least common multiple or LCM of 5 and 12}[/tex]

The LCM of 5 and 12:

 [tex]\hookrightarrow \text{is 60}[/tex]

Answer: 60 is the least common denominator of 5 and 12

  • [tex]\frac{5}{12}=\frac{5}{12}*1=\frac{5}{12}*\frac{5}{5} =\frac{25}{60}[/tex]
  • [tex]\frac{1}{5}=\frac{1}{5}*1 = \frac{1}{5}*\frac{12}{12} =\frac{12}{60}[/tex]

Terms used:

  • Least common multiple: the smallest multiple shared by the two numbers

Hope that helps!

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