How would you order these fractions from largest to smallest:7/10,3/4,4/5?

To decide the order of the fractions from largest to smallest, it is simpler to make all of the denominators the same number. To do this, I would find the number that each of the denominators is divisible by. In this instance, the number would be 20, because 20 is divisible by 10, 4, and 5. Divisible means that the number is capable of being divided without a remainder.

Next, I would multiple the numerator by the number I multiplied the denominator to make sure the fraction is the same. To get 20, I multiplied 10 by 2. Therefore, I must multiply 7 by 2, which is 14. 7/10 becomes 14/20. To get 20, I multiplied 4 by 5. Therefore, I must multiply 3 by 5, which is 15. 3/4 becomes 15/20. Last, to get 20, I multiplied 5 by 4. Therefore, I must multiply 4 by 4, which is 16. 4/5 becomes 16/20.

Therefore, the order of the fractions from largest to smallest is as follows: 4/5, 3/4, 7/10.

Step 1: all the fractions need to have the same denominator (bottom number)

We find a number of which all three fractions are a factor, in this case 10, 4 & 5 are all factors of 20, so we can convert them all to 20ths by completing the same operations on both the top and bottom numbers:

7 14

10 multiply by 2 20

3 15

4 multiply by 5 20

4 16

5 multiply by 4 20

Step 2: put the converted fractions in the correct order

16 15 14

20 20 20

Step 3: convert them back

4 3 7

5 4 10

4/5,7/10,3/4

When you divide the fraction,

For example, 4/5=0.8 it's closer to one and when you do the orders same way then you can get the largest fraction

First, we will need to get all the denominators (bottom number) the same. We will always need to get the denominators the same before arranging them in an order. If the denominators change then the numerators (top number) will change as well. Looking at the fractions, we can see three denominators which are 10, 4 and 5. The best thing is to find the LCM for these numbers which means what number goes into these numbers time tables. If you were to list your 10, 4 and 5 timetables and see what numbers go in all of them. That number will be our new denominator.

10, 20, 30, 40, 50, 60

4, 8, 12, 16, 20, 24

5, 10, 15, 20, 25, 30

From the listed numbers above, 20 is the LCM for 10, 4 and 5. I have underlined it above. Remember that I told that the numerator will change as well. So what will be our new numerator for each fraction. Its pretty simple!

Lets look at 7/10, the new denominator is 20. We need to think what number multiplies by 10 to give us 20. We can do 20 divided by 10 which is 2. So 10 x 2 is 20. We have multiply the numerator by 2 to give us the new numerator. It will be 7 x 2 = 14.

Our new fraction is 14/20. Now we do the same for 3/4 and 4/5. Looking at 3/4, what number multiply by 4 to given us 20. It will be 5. So 3 x 5 = 15. 15/20

4/5 will be 16/20 because 20 divided by 5 is 4. So 4 x 4 is 16.

Now we have new fractions with same denominators. 14/20, 15/20, 16/20. We can easily see which one smallest and the largest then put them into this order. The smallest will be 14/20 then it will be 15/20 then the largest will be 16/20.

Don't forget to put the answer using the original fractions that was given to us. So the answer will be 7/10, 3/4, 4/5.

I hope that answers your question.