Question

-1/3x-1/6=2/9 solution

Answer 1

Answer:

-1  1/6

Step-by-step explanation:

Use a common denominator first to convert all the fractions so they can be easily added or subtracted.

Common denominator is 18 since 3, 6, and 9 can all evenly divide into 18

1/3 = 6/18

1/6 = 3/18

2/9 = 4/18

So now you have

-6/18x - 3/18 = 4/18

add 6/18x to both sides so you can make the number with the variable positive

6/18x - 6/18x - 3/18 = 4/18 + 6/18x simplifies to - 3/18 = 4/18 + 6/18x

subtract 4/18 from both sides

- 3/18 - 4/18 = 4/18 - 4/18 + 6/18x simplifies to - 7/18 = 6/18x

Divide both sides by 6/18 so x is alone on the one side

( - 7/18) / ( 6/18) = ( 6/18x) / ( 6/18)  simplifies to ( - 7/18) / ( 6/18) = x

When you divide a fraction by a fraction, the bottom fraction gets flipped over then you multiply the two new fractions straight across

so the new equation looks like this

- 7/18 times 18/6 and you multiply -7 x 18 = -126 and the bottom is 18 times 6 = 108    you now have  -126/108

x = -126/108  which simplifies to - 1  18/108  which can still be simplified more to -1  1 / 6   since 108 can be divided by 18 that gives you 6.