What is the sum of 5 and -3 1/7?

To find the sum of 5 and -3 1/7, you first need to convert -3 1/7 into an improper fraction. The mixed number -3 1/7 can be rewritten as -22/7 because 3 multiplied by 7 is 21, and adding the 1 gives 22, thus we denote it as negative.

Next, convert the whole number 5 into an improper fraction with the same denominator. Since 5 can be expressed as 5/1, to convert it to a fraction with a denominator of 7, you multiply both the numerator and the denominator by 7. This gives you 35/7.

Now, you can add the two fractions together:

35/7 (from 5) + (-22/7) = (35 - 22)/7 = 13/7.

Next, convert 13/7 back into a mixed number. Dividing 13 by 7 gives you 1 with a remainder of 6, which means 1 6/7.

Therefore, the sum of 5 and -3 1/7 is indeed 1 6/7, confirming that the correct answer is as stated.