alright, i want an explanation on how to do these so i can do the rest on my own...

the first problem is
j/3 = 2/5

how do i solve that?

Multiply both sides of the equation by 3. You want to get an equation with just j on one side.

One way is to cross multiply.

5j = 6
j = 6/5

Another way is to multiply both sides by a number that will clear both the 3 and the 5 from the denominator. Such a number is 15. Like this.
15*j/3 = 15*2/5
5j = 6
j=6/5
I hope this helps.

You times j by the reciporacal:

3/1 x j/3

Then whatever you do to oneside you have to do to the other:

j=2/5 x 3/1

Find a common denominator:

2/5 x 15/5 = 30/5

Which reduces to 6/1 or just 6

So j=6

multiply both sides by 3/1 and simplify

To solve the equation j/3 = 2/5, you need to isolate the variable j. Here are the steps to do that:

Step 1: Cross-multiply
Multiply the numerator of the first fraction (j) with the denominator of the second fraction (5), and the numerator of the second fraction (2) with the denominator of the first fraction (3). This gives you: j * 5 = 2 * 3.

Step 2: Simplify
Simplify both sides of the equation: 5j = 6.

Step 3: Solve for j
Divide both sides of the equation by 5 to isolate j: j = 6/5.

Therefore, the solution to the equation j/3 = 2/5 is j = 6/5.

Now you can apply this method to solve similar equations on your own!