Respuesta :

the least common DENOMINATOR would be 15

The LCD of the fractions [tex]\frac{1}{3} ,\frac{11}{15}[/tex] is 15

What is fraction?

"It is a part of a whole number and a way to split up a number into equal parts."

What is LCD of the fractions?

"The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions."

For given question,

We have been given two fractions [tex]\frac{1}{3} ,\frac{11}{15}[/tex]

We need to find the least common denominator of [tex]\frac{1}{3} ,\frac{11}{15}[/tex]

The denominator of fraction [tex]\frac{1}{3}[/tex] is 3.

and the denominator of fraction [tex]\frac{11}{15}[/tex] is 15.

Multiples of 3 are 3, 6, 9, 12, 15, 18,...

Multiples of 15 are 15, 30, 45,...

The least common multiple of 3 and 15 is 15.

Therefore, the LCD of the fractions [tex]\frac{1}{3} ,\frac{11}{15}[/tex] is 15

Learn more about least common denominator here:

https://brainly.com/question/8393834

#SPJ3