0 8/3 -2/5 1 3/4 19/20 -3/4 put least to greatest

Question

will I was stuck really bad can you please help me. thanks for all you do. I love you all smart people answer my question please. THANKS AGAIN!!!!!!!!!

Answer 1

One easy way is to convert all of these numbers to decimal form.  8/3 is 2 & 2/3 and it is the greatest, so put it at the far right.  Of the two negative numbers, the LEAST is -3/4 because it is farther to the left of zero than is -2/5 (these numbers are -0.75 and -0.40 in decimal.)  I hope that this gets you on track and that you can finish the whole task.

Answer 2

First, let's simplify things by separating the negative numbers from the positive ones:

   Negative: -2/5 and -3/4

   Zero: 0

   Positive: 8/3, 1, 3/4, and 19/20

 

There are several ways you can go from here. Since there are only two negative numbers, I would find a common denominator.

   The least common denominator of 5 and 4 is 20.

   -2/5 = X/20 --> X = -8

   So -2/5 = -8/20

 

   -3/4 = Y/20 --> Y = -15

   So -3/4 = -15/20

 

Compare -8/20 and -15/20 and notice that -8 is larger than -15 (use a number line to double check). This means our first two numbers are -3/4 and -2/5.

 

After these is 0.

 

Then we have our positive numbers. For this problem, notice that we have two proper fractions (3/4 and 19/20), a one (1), and an improper fraction (8/3). The proper fractions will be the smallest, 1 will be in the center, and the improper fraction will be the largest.

 

Now we have our number list as:

   -3/4, -2/5, 0, ___, ___, 1, 8/3

 

Now we repeat what we did with our negative numbers for 3/4 and 19/20. Find a common denominator and compare:

   The least common denominator of 4 and 20 is 20.

   3/4 = X/20 --> X = 15

   So 3/4 = 15/20

 

   19/20 already has 20 in the denominator. So we change nothing here.

 

Compare 15/20 and 19/20 and notice that 19 is greater than 15. So the order is 3/4 and 19/20.

 

Now we have our completed number list:

   -3/4, -2/5, 0, 3/4, 19/20, 1, 8/3

 

I hope I didn't ramble for too long and this helps.

Answer 3

Firstly, we know that the negative numbers are the smallest of the set. For negative numbers, the larger the number the smaller its overall value. For example, -2 is less than -1. We also know that 0 is greater than any negative number and less than any positive number.

 

One way to easily sort these numbers in ascending order is to find the LCD.

 

What is the LCM of 3, 4, 5, and 20?

 

3 = 3 x 1

4 = 2 x 2

5 = 5 x 1

20 = 4 x 5 = 2 x 2 x 5

 

Therefore, the LCM is 2 x 2 x 3 x 5 = 60

 

We can now re-write each of these numbers as a fraction with a denominator of 60

 

8/3 = 160/60

 

-2/5 = -24/60

 

1 3/4 = 7/4 = 105/60

 

19/20 = 57/60

 

-3/4 = -45/60

 

We have two negative fractions in our set, and -45/60 is smaller than -24/60. Next comes 0. You should be able to sort the remaining terms from least to greatest now, Fadumo.

 

Answer 4

These numbers are either less than one or greater than one.  Some are also either less than or greater than 1/2, as well as negative or positive.  These are our clues to ordering them.

 

Notice that you have two values that are negative.  These are the first least values.

 

-3/4 , -2/5

 

 

Then the rest are positive, with one value being zero.

 

0 , 19/20 , 1 3/4 , 8/3

 

 

19/20 is less than 1.

 

1 3/4 is greater than 1.

 

8/3 is greater than 2.  This becomes the mixed number  2 2/3.

 

 

Here is your final order from least to greatest.

 

-3/4 , -2/5 , 0 , 19/20 , 1 3/4 , 8/3