the difference between 2 fractions is 1/10. The smaller fraction is 5/7. What is the sum of the two fractions?

Let X be the larger fraction.

X - 5/7 = 1/10
X = 5/7 + 1/10
X = 50/70 + 7/70
X = 57/70
The sum of the two fractions is:
5/7 + 57/70 = 350/490 + 399/490
= 749/490
Simplifying this fraction, we get:
749/490 = 1 259/490
Therefore, the sum of the two fractions is 1 259/490.