Can you have fractions in standard form

If you find that you need more examples or more practice problems, check out the Algebra Class E-course. You'll find additional examples on video, lots of practice problems with detailed solutions and little "tips" to help you through! Our first step is to eliminate the fractions, but this becomes a little more difficult when the fractions have different denominators! We need to find the least common multiple LCM for the two fractions and then multiply all terms by that number! Slope intercept form is the more popular of the two forms for writing equations.

However, you must be able to rewrite equations in both forms. For standard form equations, just remember that the A, B, and C must be integers and A should not be negative. Click here for more information on our affordable subscription options. Not ready to subscribe? Click here for more information on our Algebra Class e-courses.

On this site, I recommend only one product that I use and love and that is Mathway If you make a purchase on this site, I may receive a small commission at no cost to you. Algebra Class. Three times seven of course is 21, we just figured that out.

We would distribute the So it's gonna be 14x. And then 21 divided by seven is three times four is So just like that I was able to get rid of the fractions. And now I wanna get all the X's and Y's on one side. So I wanna get this 14x onto the left side. So let's see if I can do that. So I'm gonna do that by. To get rid of this I would want to subtract 14x. I can't just do it on the right hand side I have to do it on the left hand side as well.

So I wanna subtract 14x, and then what am I left with? Let me give myself a little bit more space. So on the left hand side I have negative 14x plus 21y. Plus 21y is equal to. Let's see and I subtracted 14x to get rid of this. And then I have this is equal to Now let's see, am I done? Do these share any, do 14, 21, and 12 share any common factors?

Let's see, 14 is divisible by two and seven. But all of these aren't divisible by the same number. And 21 and 12 are divisible by three but 14 isn't.

So I think this is about as simplified as I could get. If there was a common factor for all three of these numbers then I would divide all of them the way I did in that previous example. But that's not the case right over here. So it's negative 14x plus 21y is equal to Write the equation of the line in standard form.

To clear fractions, you can multiply both sides of the equation by a whole number. The whole number should be a multiple of both denominators ideally it is the least common multiple. Our denominators here are 3 and 4, so we will use This quick calculation can allow you to find the slope of any line written in this form without needing to apply extra algebra steps. What is the slope of the line defined by the equation below? Understanding the equation of a line is one part of the overall study of linear equations and their graphs.