Answer:
3/8
Step-by-step explanation:
Find and apply the LCD. In this case we have the three denominators 8, 10 and 5, which in factored form are 2(4), 2(5) and 1(5). The factors that make up the LCD are 2, 4 and 5, or 40. Note that 8, 10 and 5 all divide evenly into 40.
So our expression, 7/8-(-1/10)+(-3/5), can be rewritten as:
35/40 + 4/40 - 24/40, which simplifies first to 39/40 - 24/40, and then to:
15/40.
This 15/40 reduces to 3/8.
