put in order from greatest to least 3/6,5/6,4/10.

3/6= 15/30

5/6= 25/30
4/10= 12/30

So it's 4/10, 3/6, 5/6

Sorry, I accidentally did least to greatest. It is 5/6, 3/6, 4/10

how did u get 30?

30 is the least common denominator of 6 and 10

6 = 2 *3
10 = 2*5
to make them the same I must multiply 6 by 5 and 10 by 3
6*5 = 2*3*5 = 30
3*10 = 2*5*3 =30

The ones with the denominators of 30 are just equivalent fractions. Per see, 6 goes into 30 5 times. So you multiply the numerator, 3, and the denominator, 6, 5 times. Same with 5/6, just the 3's a 5 there. 4/10 is equivilent to 12/30, because you multiply 10 3 times to get there. So you multiply 4 3 times also. Get it?

To put these fractions in order from greatest to least, you can compare their values. One way to do this is by finding a common denominator for all the fractions and then comparing the numerators.

Let's find a common denominator for the fractions 3/6, 5/6, and 4/10. The smallest number that both 6 and 10 can divide evenly into is 30.

Now let's convert each fraction to have 30 as the denominator:

3/6 = (3/6) * (5/5) = 15/30
5/6 = (5/6) * (5/5) = 25/30
4/10 = (4/10) * (3/3) = 12/30

Now we can order the fractions based on their numerators:

25/30 is the largest because the numerator is the largest.
15/30 is next because the numerator is smaller than 25 but larger than 12.
12/30 is the smallest because the numerator is the smallest.

Therefore, the order from greatest to least is 5/6, 3/6, 4/10.