How To Add Fractions Quickly

- hi, welcome to this question right here.so what we have here is the division now. so okay, there's strick to that. so first of all before we do anything. it's still the originalmethod. we should change to improper fractions. okay? excuse me. so what wehave here is this. we go ourselves-- let me just rewrite the question here, downhere with the division sign and here's the

How To Add Fractions Quickly, negative two and the one third, right? solet's change everything to improper fractions, okay? so it looks nicer. so three times one, and so rememberthrough the room. let me show you a little bit of work. so the work is simple. let mechoose a color pen right here. so three

times the one, and plus the one on thetop. so okay. this is multiplication, this is addition. three times one is three,plus one is four. so this is actually negative four over three. right there.divided by the same thing right here. three times two, and you add a one tothat. so three times two is six, plus one is seven. negative seven over three. okay? when you're doing the multiplying andadding this part right here, don't worry about the negative sign. just bring itdown, all right? so we have a negative four over three, divided by negative sevenover three, okay? there's two things that we needed to clear before we do anything.first of all, negative and the negative

number, if you're dividing or multiplyingit doesn't matter which one you're going to do, it becomes positive okay? so youdon't have to worry about the negative sign anymore. so if you want, i canactually rewrite it, everything is the same except that the negative signs aregone. okay, because negative, negative becomes positive whenever you domultiplying or dividing. then you still have the negative-- thedivision sign, right? here's a little trick for us. so four over three dividedby seven over three. what happens is, if i just going to bring the work up here, andlet's change the color pen so it looks better. four over three, keep the firstpart the same, but we can actually change

it into multiplying. how do we do that?simply flip the seven with the three. okay? flip these two.so we got three over seven. makes sense so far. so guesswhat happen, what we have. well, a little bit of simplifying before we go to thenext step. three and three are cancelled, becomes one and one. so you're just downto four over seven, and four over seven is your final answer, okay? so be careful inthe last step right there. flip it over, do the little simplification and youshould get your last answer no problem at all. thanks for watching.