Explanation:
Given,
X = 3/5, Y = 1/3, Z = 2×4/5
the given question is to find out the value of Z+X×Y so the value is stated as
14/5+3/5×1/3
Here, 14/5 will be remains same and you should multiply 3/5×1/3.
Let 14/5 be equation number (1)
The L.C.M for 3/5×1/3 is 15. then,
3/5×15+1/3×15
___________
15
3×3+1×5
= -------------
15
9+5/15 = 14/15.
Let 14/15 be equation number (2)
Combine equation number (1) and (2) then
14/5+14/15
L.C.M.of 14/5 and 14/15 is 15.
14/5×15+14/15×15
-------------------------
15