What is 6 2/5 added by 2 3/10.Make sure your answer is fully reduced​

8 7/10

Step-by-step explanation:

8 and 7/10

Step-by-step explanation:

When adding mixed numbers, here's a method I use.  I first pretend that that whole number part of the fraction doesn't exist, and that we'll deal with it later.  So now we just have 2/5 and 3/10.  Next, I make the denominators the same.  10 divided by 5 is 2, so multiply both the numerator and the denominator of 2/5 by 2.  Now we have 4/10 + 3/10.  This looks pretty easy now; since 4 + 3 is 7, our fraction is 7/10.  Now throw those whole numbers back into the mix, (6 and 2,) and add them to get 8.  Our final answer is 8 and 7/10.  

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4