Question

Order the numbers from least to greatest.
And PLEASE explain, PLEASE on how you got the answer

Answer 1

1/3 2/5 3/4 4/5 is the answer

Answer 2

Answer:

$\frac{1}{3}, \frac{2}{5} , \frac{3}{4} , \frac{4}{5}$

Step-by-step explanation:

Start by making a common denominator. That way we can just compare the numerators of the fractions and easily order then from least to greatest. Start by finding the LCM(least-common-multiple) of the denominators.

The LCM of 3, 4, and 5, is 60.

So let's make each of the fractions have a denominator of 60.

Start with $\frac{2}{5}$,

$\frac{2}{5} =\frac{x}{60}$, no we have to solve for x, and since we multiply by 12 to get to 60 from 5, we multiply 2 by 12 as well.

So, $x=24$.

Now do the same for each fraction.

$\frac{1}{3} =\frac{x}{60}$, we multiply by 20, so $x=20$

$\frac{4}{5} =\frac{x}{60}$, we multiply by 12, so $x=48$

$\frac{3}{4}=\frac{x}{60}$, we multiply by 15, so $x=45$

So now are new fractions are $\frac{24}{60} , \frac{20}{60} ,\frac{48}{60} , \frac{45}{60}$

Now just order these like normal since they have a common denominator.

$\frac{20}{60} ,\frac{24}{60} , \frac{45}{60} , \frac{48}{60}$

Now revert them and make them there original values

$\frac{1}{3}, \frac{2}{5} , \frac{3}{4} , \frac{4}{5}$