Question

1/2 (4-k)=2/5
Distribute and find LCM

Answer 1

• 20 -5k = 4
• the LCM of the denominators is 10

Explanation:

I find it convenient to do the problem in the reverse order: find the LCM, then distribute. That way, I'm not distributing a fraction.

The LCM of 2 and 5 is their product: 2·5 = 10. Multiplying the equation by 10 gives ...

5(4 -k) = 4

Now, distributing, we get ...

20 -5k = 4