How To Add Fractions On A Number Line

- [voiceover] so wehave an example exercise from our khan academy exercises. this is the decomposed fractions. the nominators of 100. use the following number lineto complete the equation.

How To Add Fractions On A Number Line, the equation says 26-hundredths is equal to star-tenths plus six-hundredths. and they give us this number line

and on this number line-- let's see, this is zero right over here, zero-tenths, which isthe same thing as zero, and it goes all the way to 26-hundredths. let's see if that makes sense. well, you see betweenzero-tenth and one-tenth, they split into 10 equal sections. one, two, three, four, five, six, seven, eight, nine, 10.

so if you divide a tenth into tenths, each of these is going to be 100. a hundredth is one-tenth of a tenth. so that's 100, 200, 300, 400, five, six, seven, eight,nine, 10-hundredths, 11, 12, 13, 14, 15, 16, 17, 18, 19 20-hundredths. 21, 22, 23, 24, 25, 26-hundredths. so that's exactly what they wrote there.

so they say 26-hundredths, which is this thing right over here, is equal to star-tenths, which is really what'sbeing depicted in magenta, the six-hundredths is thisgreen right over here. adding the six-hundredths. adding one, two, three,four, five, six-hundredths. so what is this right over here? this magenta or this pink arrow?

well we could say that's 20-hundredths. if you count it that's 10, 20-hundredths. or, you could see, wellthat's just two-tenths. so 26-hundredths is the same thing as two-tenths plus six-hundredths. and it gets you right over there. so this right over hereis going to be two-tenths.