Question

If x = 9 - 4/5, then (x + 1/x) =?​

Answer 1

Step-by-step explanation:

x=9-4/5

Lcm is 5

9=9/1×5/5=45/5

4/5=4/5×1/1=4/5

x=45/5-4/5

x=(45-4)/5

x=41/5

(x+1/x)

=41/5+(1)/41/5

=41/5+5/41

Lcm =205

41/5=41/5×41/41=1681/205

5/41=5/41×5/5=25/205

(x+1/x)=1681/205+25/205

=(1681+25)/205

=1706/205

Therefore (x+1/x)=1706/205