Which one is least to greatest? explain how you know. ( - = negative)

A - 1/5, - 2/3, 2, 0.4

B 2, - 2/3, 0.4, - 1/5

C - 2/3,0.4, - 1/5, 2

D - 2/3, - 1/5, 0.4, 2

You have a choice here - either convert the fractions to decimals if you have a calculator or just know the values, or convert the decimals to fractions and find the common denominator. Here I will do both to illustrate it.

Let's get all the numbers mentioned here, - 2/3, - 1/5, 0.4, and 2.

Firstly, decimals:

-2/3 = - 0.666 ...

-1/5 = - 0.2

Secondly, and slightly more complicated, fractions:

0.4 = 4/10

2 = 20/10 (for the sake of using the same denominator)

Now we need to find a common denominator for all of the fractions

The lowest common multiple of 3 5 and 10 is 30, so lets put them all over 30:

-1/5 = - 6/30

-2/3 = - 20/30

4/10 = 12/30

2 = 60/30

Now we can see the numbers more clearly, which shows us the the correct answer is D