Solve the equation. {:[(11)/(6)=n+(7)/(9)],[n=]:}

Write Equation: Write down the equation to solve for n. (11/6) = n + (7/9)Isolate n: To isolate n, we need to subtract (7/9) from both sides of the equation. (11/6) - (7/9) = nFind Common Denominator: Find a common denominator for the fractions (6 and 9) to subtract them. The least common multiple of 6 and 9 is 18.Convert Fractions: Convert both fractions to have the common denominator of 18. (11/6) * (3/3) = (33/18) (7/9) * (2/2) = (14/18)Subtract Fractions: Now subtract the two fractions. (33/18) - (14/18) = (33 - 14)/18Perform Subtraction: Perform the subtraction in the numerator. (33 - 14)/18 = 19/18Final Result: The result from step 6 is the value of n. n = 19/18

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Solve the equation.

{:[(11)/(6)=n+(7)/(9)],[n=]:}

Solve the equation. $\newline$ $\begin{array}{l} \frac{11}{6}=n+\frac{7}{9} \\ n=\square \end{array}$

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Grade 6

Multiply two decimals: where does the decimal point go?

Full solution

Q. Solve the equation.

\newline

\begin{array}{l} \frac{11}{6}=n+\frac{7}{9} \\ n=\square \end{array}

Write Equation: Write down the equation to solve for $n$ . $\left(\frac{11}{6}\right) = n + \left(\frac{7}{9}\right)$
Isolate $n$ : To isolate $n$ , we need to subtract $\frac{7}{9}$ from both sides of the equation. $\frac{11}{6} - \frac{7}{9} = n$
Find Common Denominator: Find a common denominator for the fractions $(6 \text{ and } 9)$ to subtract them. The least common multiple of $6$ and $9$ is $18$ .
Convert Fractions: Convert both fractions to have the common denominator of $18$ . $\newline$ $(\$\frac{11}{6}$ \)\cdot\frac{ $3$ }{ $3$ } $=$ \frac{ $33$ }{ $18$ })$\newline$$(\$\frac{7}{9}$ \)\cdot\frac{$2$}{$2$}$ = $\frac{$14$}{$18$})
Subtract Fractions: Now subtract the two fractions. $(\frac{33}{18}) - (\frac{14}{18}) = \frac{33 - 14}{18}$
Perform Subtraction: Perform the subtraction in the numerator. $(33 - 14)/18 = 19/18$
Final Result: The result from step $6$ is the value of $n$ . $n = \frac{19}{18}$