Respuesta :
Answer:
Least common denominator = 32
Step-by-step explanation:
We are given the following in the question:
Lina wants to find the least common denominator of two fractions so she can add them.
[tex]\dfrac{4}{32}\text{ and }\dfrac{5}{8}[/tex]
To find the LCM of the fractions:
[tex]8 = 2\times 2\times 2\\32 = 2\times 2\times 2\times 2\times 2\\\text{Common factors = }2\times 2\times 2\\LCM = 2\times 2\times 2\times 2\times 2 = 32[/tex]
The fractions can be added in the following manner:
[tex]\dfrac{4}{32} + \dfrac{5}{8}\\\\=\dfrac{4\times 1}{32\times 1} + \dfrac{5\times 4}{8\times 4}\\\\= \dfrac{4}{32} + \dfrac{20}{32}\\\\=\dfrac{4+20}{32}\\\\=\dfrac{24}{32}[/tex]
