Solve for m : {:[(-(11)/(6))+m=-(2)/(9)],[m=◻]:}

Isolate variable m: Isolate the variable m on one side of the equation. To do this, we need to add (11/6) to both sides of the equation to cancel out the -(11/6) on the left side. (-(11/6)) + m + (11/6) = -(2/9) + (11/6)Calculate sum on right side: Calculate the sum on the right side of the equation. We need to find a common denominator to add -(2/9) and (11/6). The common denominator for 9 and 6 is 18. So, we convert -(2/9) and (11/6) to have the denominator of 18: -(2/9) = -(4/18) (11/6) = (33/18) Now, add the two fractions: -(4/18) + (33/18) = (33/18) - (4/18) = (29/18)Write simplified equation: Write down the simplified equation with m isolated. m = (29/18)

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Solve for
m :

{:[(-(11)/(6))+m=-(2)/(9)],[m=◻]:}

Solve for $m$ : $\newline$ $\begin{array}{l} \left(-\frac{11}{6}\right)+m=-\frac{2}{9} \\ m=\square \end{array}$

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Solve for

m

\newline

\begin{array}{l} \left(-\frac{11}{6}\right)+m=-\frac{2}{9} \\ m=\square \end{array}

Isolate variable m: Isolate the variable $m$ on one side of the equation. $\newline$ To do this, we need to add $(11/6)$ to both sides of the equation to cancel out the $-(11/6)$ on the left side. $\newline$ $(-(11/6)) + m + (11/6) = -(2/9) + (11/6)$
Calculate sum on right side: Calculate the sum on the right side of the equation. $\newline$ We need to find a common denominator to add $-\frac{2}{9}$ and $\frac{11}{6}$ . The common denominator for $9$ and $6$ is $18$ . $\newline$ So, we convert $-\frac{2}{9}$ and $\frac{11}{6}$ to have the denominator of $18$ : $\newline$ $-\frac{2}{9} = -\frac{4}{18}$ $\newline$ $\frac{11}{6} = \frac{33}{18}$ $\newline$ Now, add the two fractions: $\newline$ $\frac{11}{6}$ $0$
Write simplified equation: Write down the simplified equation with $m$ isolated. $m = \frac{29}{18}$