Question

Specify three fractions with different denominators that have a LCD of 24 then arrange the fractions in order from least to greatest.

Answer 1

We can just guess  20/24,     10 / 24   and 8 / 24

From the least to the greatest:

8/24, 10/24,    20/24

8/24 = 1/3            10/24 = 5/12            20/24 = 5/6

So it is:

1/3,  5/12, 5/6

I hope this helps.
  

Answer 2

Answer:

$\displaystyle\frac{7}{12}< \frac{5}{8}< \frac{2}{3}$

Step-by-step explanation:

We are given the following fractions:

$\displaystyle\frac{7}{12}, \frac{5}{8}, \frac{2}{3}$

Taking the LCD of the denominator which is 24, we have,

$\displaystyle\frac{7\times 2}{12\times 2}, \frac{5\times 3}{8\times 3}, \frac{2\times 8}{3\times 8}\\\\= \frac{14}{24}, \frac{15}{24}, \frac{16}{24}$

Now arranging them in order from least to great we have:

$\displaystyle\frac{14}{24} < \frac{15}{24} < \frac{16}{24}\\\\\displaystyle\frac{7}{12}$