Respuesta :

2/4, 3/6, 4/8, 12/24, 24/48, and 48/ 96. Hope it helps!

Answer:

[tex]\frac{2}{4}=\frac{3}{6}=\frac{4}{8}=\frac{12}{24}=\frac{24}{48}=\frac{48}{96}[/tex]

Step-by-step explanation:

We are required,

To use the numbers 4, 6 and 8 as the denominator and write 6 equivalent fractions.

We will consider the fractions,

[tex]\frac{2}{4}=\frac{3}{6}=\frac{4}{8}[/tex]

Now, we want to have 3 more equivalent fractions.

Since, the least common multiple = LCM {4,6,8} = 24

As, multiples of 24 = 24, 48 and 96. Thus, they are divisible by 4, 6 and 8.

So, the equivalent fractions will be [tex]\frac{12}{24}=\frac{24}{48}=\frac{48}{96}[/tex]

Hence, the six equivalent fractions are,

[tex]\frac{2}{4}=\frac{3}{6}=\frac{4}{8}=\frac{12}{24}=\frac{24}{48}=\frac{48}{96}[/tex]