SOLUTION: I'm trying to find the distance on a number line between -3/7 and -2/3.can you tell me how this is done?

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Question 1109838: I'm trying to find the distance on a number line between -3/7 and -2/3.can you tell me how this is done?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
By the definition,  this distance is the absolute value of the difference


abs%28%28-3%2F7%29+-+%28-2%2F3%29%29 = abs%28-3%2F7+%2B+2%2F3%29 = abs%28-9%2F21+%2B+14%2F21%29 = abs%28%2814-9%29%2F21%29 = abs%285%2F21%29 = 5%2F21.


Answer.  5%2F21.


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Simply draw the number line and plot the values. Common denominator is 21, so you may show as -9%2F21 and -14%2F21. You can compute the difference, or count directly on the number line.

number_line%28500%2C-1.5%2C0.5%2C-3%2F7%2C-2%2F3%29

number_line%28500%2C-1.5%2C0.5%2C-9%2F21%2C-14%2F21%29