Question

Last one, what is the algebraic way to solve 1/5(t+2) = 5/8 ? Please provide the correct explanation :)

Answer 1

That’s the answer because
Following PEMDAS
1/5*t=1/5t
1/5*2=2/5
So now we have
1/5t+2/5=5/8
To subtract fractions you need a like denominator, and the closest one between 5 and 8 is 40
So we have 16/40 and 25/40
25/40-16/40 is 9/40
So we now have
1/5t=9/40
Now divide
You get 1 and 1/8 or 1.125

Answer 2

1/5(t+2)=5/8
First you do 1/5 times t+2
1/5t+2/5=5/8
Then you subtract 2/5 from both sides
1/5t+2/5 - 2/5 = 5/8 -2/5
Simplify that and you get
1/5t = 9/40
Divide both sides by 1/5 (multiply by the reciprocal)
And you get 9/8 or 1 1/8
I hope this helped!