How To Add Fractions Mixed Fractions

move the orange dot to9/4 on the number line. let's think about thisnumber line right here. this is 0. this is 3. so this must be 1 and 2.

How To Add Fractions Mixed Fractions, we need to go to 9/4. so there's two waysof thinking about 9/4. one way is to try to convertit to a mixed number. 4 goes into 9 two times.

and you'll have 1 left over. so this you coulddo as 2 and 1/4. so you could say, this is 1, 2. and then, we have to go 1/4of the way between 2 and 3. so that looks likeabout 2 and 1/4. so you could thinkabout it that way. or you could even view itas an improper fraction. so let's go by 1/4's. so that's 1/4, 2/4, 3/4, 4/4,which is a whole, 5/4, 6/4,

7/4, 8/4, which isequal to 2 wholes. 8 divided by 4 is 2. and then, we go from 8/4 to 9/4. either way, we get to that exactsame point on the number line. let's do a few more of these. move the orange dot to11/5 on the number line. so we can do it both ways again. 5 goes into 11 two times. and then, you have 1 left over.

so you could callthis 2 and 1/5. so we could go 1,2, and then 1/5. or we could justthink of it in terms of 1/5's as animproper fraction. 1/5, 2/5, 3/5, 4/5, 5/5 isa whole, 6/5, 7/5, 8/5, 9/5, 10/5. 10 divided by 5 is 2. 10/5 is two wholes. 10/5 and 11/5--i'm having more fun

than i expected towith this exercise. let's do one more. orange dot to 5/2on the number line. so this is 1/2. this is 2/2, which is a whole. this is 3/2. this is 4/2, whichis two wholes. this is 5/2. another way you couldhave thought about it-- 2

goes into 5 two timeswith a remainder 1. so this is 2 and 1/2as a mixed number-- 1, 2, and 1/2 as a mixed number.