+0

-1/3 +2 5/6 - 3/8 x 1 2/3

+1
145
1

-1/3 +2 5/6 - 3/8 x 1 2/3

-2 1/2 / (-3 1/3) + (-1/6)

-1/4 + (-4/5) x 2 1/6 - 5/16

Jan 17, 2019

#1
+1

For the first one, I define it as $$-{1\over3} + {2 {5\over6}} - {3\over8} \cdot 1 {2\over3}.$$ Now you calculate $$-{1\over3}+{2 {5\over6}}$$, which is $$-{2\over6}+{2 {5\over6}}$$. This is equal to $${2 {3\over6}}=2{1\over2}$$.

Now we have to solve $${3\over8}\cdot1{2\over3}$$. This is equal to $${3\over8}\cdot{5\over3}$$, or $$5\over8$$. Now all you need to do is calculate $$2{1\over2}-{5\over8}$$, which is just $$2{4\over8}-{5\over8}=1{12\over8}-{5\over8}=1{7\over8}.$$

(The latex takes some time this took around 5 minutes lol)

For the second one, I define it as $${{-2{1\over2}}\over{-3{1\over3}}}+{({-{1\over6}})}$$. Now we calculate the division, which is $${{5\over2}\over{10\over3}}.$$ Since division is multiplying by a reciprocal, it is just $${5\over2}\cdot{3\over10}={3\over4}.$$ Now you have to do $${3\over4}+(-{1\over6}),$$ which becomes $${9\over12}+(-{2\over12})={7\over12}.$$

For the third one, I define it as $$-{1\over4}+(-{4\over5})\cdot{2{1\over6}}-{5\over16}.$$ First we have to calculate the multiplication, which is $${-{4\over5}}\cdot{2{1\over6}}={-{4\over5}}\cdot{13\over6}={-{26\over15}}.$$Now you do the addition and subtraction, which is $${-{1\over4}}-{26\over15}-{5\over16}={-{60\over240}}-{416\over240}-{75\over240}={-{551\over240}}.$$

I really hope this helped, it took me around 20 minutes to solve this and do the latex.

HOPE THIS HELPED!!!!!!!!!!!!!!!!!!!!!!!!!!!

Jan 17, 2019