Week 14 – Math 11

This week in math, we learned how we can solve fractional equations using multiple different  methods. The first method included cross multiplying. The other one included putting all the numbers over the same denominator.

Example:

Cross multiply

\frac{1}{9}+\frac{1}{x}=\frac{4}{9}

First, you collect the like terms to one side.

\frac{1}{x}=\frac{3}{9}

Then, simplify and cross multiply.

\frac{1}{x}=\frac{1}{3}

x=3

Like denominators

\frac{1}{9}+\frac{1}{x}=\frac{4}{9}

First, you put everything over the same denominator.

\frac{x}{9x}+\frac{9}{9x}=\frac{4}{9x}

Then, collect like terms.

\frac{9}{9x}=\frac{3}{9x}

Next, multiply both sides by the denominator.

9=3x

Lastly, divide both sides by the coefficient.

x=3

Knowing that there are more than just one way to solve the same problem allows us to be able to solve in the most efficient way depending on the person. It allows us to have flexibility and also be able to solve using which way might be easier for the specific question.

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