- #1

bobisaka

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In step 3, how did the fractions come to multiplying with those particular numbers?

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In summary, the fractions are expanded to have the same denominator, which makes it possible to subtract them. This is done by finding the least common multiple of the denominators and expanding each fraction accordingly.

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bobisaka

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- #2

mathmari

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MHB

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The denominator of the first fraction is $6$ and the of the second one it is $9$. We expand both fractions to make their denominators the same as the least common denominator.

The Least Common Multiple of $6$ and $9$ is $18$. It holds that $6\cdot 3=18$ and $9\cdot 2=18$. Therefore we expand the first fraction by $3$ : $\frac{11}{6}=\frac{11\cdot 3}{6\cdot 3}=\frac{33}{18}$ and the second fraction by $2$: $\frac{7}{9}=\frac{7\cdot 2}{9\cdot 2}=\frac{14}{18}$.

Now we can do the subtraction by subtracting the numerators: $$\frac{11}{6}-\frac{7}{9}=\frac{33}{18}-\frac{14}{18}=\frac{19}{18}$$

The equation is asking you to find the value of n that makes the equation true. In other words, you need to find the number that, when added to 7/9, equals 11/6.

To solve for n, you need to isolate it on one side of the equation. This can be done by using algebraic operations such as addition, subtraction, multiplication, and division. In this case, you can start by subtracting 7/9 from both sides of the equation to get 11/6 - 7/9 = n. Then, you can simplify the left side of the equation to get the value of n.

Yes, you can use a calculator to solve this equation. However, it is important to understand the steps involved in solving the equation manually before relying on a calculator. This will help you better understand the process and catch any errors that may occur.

If you make a mistake while solving for n, the equation will no longer be true. This means that the value of n you calculated is incorrect. It is important to double-check your work and make sure all the steps are correct to ensure an accurate solution.

No, there are no special rules or formulas needed to solve this equation. However, it is important to have a strong understanding of basic algebraic operations and how to manipulate equations to isolate a variable. Practice and familiarity with these concepts will make solving equations like this one easier.

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