Question

What is the sum (2/5 x +5/8)+(1/5 x - 1/4)?

Answer 1

3/5+3/8

Explanation:

Answer 2

`\left((2)/(5)x+(5)/(8)\right)+\left((1)/(5)x-(1)/(4)\right)=\left((2)/(5)x+(1)/(5)x\right)+\left((5)/(8)-(1)/(4)\right)\\\\=(2+1)/(5)x+\left((5)/(8)-(1\cdot2)/(4\cdot2)\right)=(3)/(5)x+\left((5)/(8)-(2)/(8)\right)\\\\=(3)/(5)x+(5-2)/(8)=\boxed{(3)/(5)x+(3)/(8)}`