How do you simplify $- \frac{1}{9} + (- \frac{5}{6})$ $-1/9 + (-5/6)$ ?

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How do you simplify $- \frac{1}{9} + (- \frac{5}{6})$ $-1/9 + (-5/6)$ ?

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Answer 1 · 2017-08-23T02:23:27

$- \frac{17}{18}$ $-17/18$

Explanation:

Begin by removing the parenthesis:

$- \frac{1}{9} +$ $-1/9+$ $- \frac{5}{6}$ $-5/6$

Simplify:

$- \frac{1}{9} - \frac{5}{6}$ $-1/9-5/6$

Subtract by first finding the $Least common denominator$ $"Least common denominator"$ or $LCD$ $"LCD"$ We can do this by listing out the multiples of $9$ $9$ and $6$ $6$ and finding the smallest number that they both have in common:

$6 : 6, 12, 18$ $color(red)6: 6, 12, color(blue)18$

$9 : 9, 18, 27$ $color(red)9: 9, color(blue)18, 27$

The LCD is $18$ $18$

Now we must make the denominators the same in order to subtract. Also, what we do to the denominator, we must also do to the numerator.

$- [\frac{1}{9} (\frac{2}{2})] - [\frac{5}{6} (\frac{3}{3})]$ $-[1/9(2/2)]-[5/6(3/3)]$

$- \frac{2}{18} - \frac{15}{18}$ $-2/18-15/18$

We can now rewrite the expression above as...

$\frac{- 2 - 15}{18}$ $(-2-15)/18$

...and subtract which yields

$- \frac{17}{18}$ $-17/18$

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1 Answer

Explanation:

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