Arrange these numbers from least to greatest: 2 over 5 comma text end text − 3 over 7 comma text end text 2 over 3.
A.
2 over 5 comma text end text − 3 over 7 comma text end text 2 over 3
B.
− 3 over 7 comma text end text 2 over 5 comma text end text 2 over 3
C.
− 3 over 7 comma text end text 2 over 3 comma text end text 2 over 5
D.
2 over 5 comma text end text 2 over 3 comma text end text text end text − 3 over 7
I believe the answer is C
holy crap! Ever hear of math sumbols?
3/7, 2/3, 2/5
Change them all to a common denominator of 105
To arrange these numbers from least to greatest, let's convert them into decimals and compare their values.
The given numbers are:
- 2 over 5 (written as a fraction)
- - 3 over 7 (written as a fraction)
- 2 over 3 (written as a fraction)
To convert each fraction into a decimal, divide the numerator by the denominator.
2 over 5 = 2 ÷ 5 = 0.4
- 3 over 7 = -3 ÷ 7 ≈ -0.4286
2 over 3 = 2 ÷ 3 ≈ 0.6667
Now we have the decimals:
- 0.4
- -0.4286
- 0.6667
To arrange the numbers from least to greatest, we can simply compare the values.
-0.4286 < 0.4 < 0.6667
So the correct arrangement is:
- - 3 over 7, 2 over 5, 2 over 3
Therefore, the correct answer is option C.