4b+1/4=5/12
I do not just want the answer but someone please explain to me how to do this. I've been working hours trying to figure out how to solve for b.
4b+1/4=5/12 multiply each term by the common denominator of 4 and 12, i.e., 12
48b + 3 = 5 subtract 3 from both sides
48b = 2 divide both sides by 48
b = 2/48 = 1/24
Original Equation:
\(4b+\frac{1}{4} = \frac{5}{12}\)
The goal is to get b on a side by itself. So lets first get rid of 1/4 on the left.
To do this, we subtract it from both sides. and we get:
\(4b=\frac{1}{6}\)
We still need to get b on a side by itself, however.. so, let's get rid of the 4 on the left. We will devide 4 from both sides. and we'll get:
\(b=\frac{1}{24}\)
And that will be your solution. To check that it's correct.. you can replace b with 1/24 in the equation
\(4b+\frac{1}{4}\)
And see if the answer you get is 5/12.
Hope this helps some.