Final answer:
To find the distance between two-thirds and negative three-fifths on a number line, subtract the two fractions and take the absolute value of the result. The distance is 11/15.
Step-by-step explanation:
To find the distance between two-thirds and negative three-fifths on a number line, we need to subtract the two numbers and take the absolute value of the result.
Two-thirds is equivalent to 4/6 and negative three-fifths is equivalent to -3/5. When we subtract these fractions, we get (4/6) - (-3/5) = 22/30. Taking the absolute value gives us 22/30 = 11/15.
So, the distance between two-thirds and negative three-fifths on a number line is 11/15.