Question

Could someone explain this to me pleasee

Answer 1

what do you need explained?

Answer 2

\[2 \frac{ 1 }{ 6 } + d = 1 \frac{ 1 }{ 9 }\]

Answer 3

sorry I can't help cause I have to go. But I hope someone else can! :) @swami @hba @J-Cross18

Answer 4

Okay, thanks though @Gatorgirl :)

Answer 5

I can help. :3 hold on, I'll start doing it for you now.

Answer 6

Okay thanks! :)

Answer 7

\[2\frac{ 1 }{ 6 } + d = 1\frac{ 1}{9 }\]
First off, we need to make the denominators the same (it makes it a lot easier.) The smallest common denominator would be 18 (6*3=18 & 2*9=18) so in order to make the fractions equal, you must multiply them with whatever was the number you multiply it by to make it equal to the smallest common denominator. So 2 1/6 would be 2 3/18 and 1 1/9 would be 1 2/18.
\[2 \frac{ 3 }{ 18 } + d = 1\frac{ 2 }{ 18 }\]
in order to get d by itself, we have to subtract the 2 3/18. This is easier to do now that they have the same denominator. However, we should make them improper fractions.

You would multiply the bottom number (18) times the number on the left (2) and then add the 3. This would give you the improper fraction of 39/18. You should do the same on the other side. (18*1) +2= 20/18.
Now we are ready to actually get d.
\[\frac{ 39 }{18 } + d = \frac{ 20 }{ 18 }\]
Because the denominators are the same, we can just subtract the 39 from the 20, and put it over 18.
\[\frac{ 39 }{ 18 } + d - \frac{ 39 }{ 18 }= \frac{ 20 }{ 18 } - \frac{ 39 }{ 18 }\]

\[\frac{ 20 }{ 18 } - \frac{ 39 }{ 18 } = -\frac{ 19 }{ 18 }\]
Now we can check to see if this works.

\[\frac{ 39 }{ 18 } + -\frac{ 19 }{ 18 } = \frac{ 20 }{ 18 }\]