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Norma-Jean [14]
3 years ago
14

HELP!!! Will give brainliest!!! How do you slove a two step equation with fractions involved?

Mathematics
1 answer:
vodka [1.7K]3 years ago
5 0

I hope that this is what you are looking for

Step-by-step explanation:

Let's take the following question as an example,

\frac{2}{3} x-\frac{1}{4} = \frac{1}{6}

Start by adding 1/4 to both sides.

\frac{2}{3} x - \frac{1}{4} + \frac{1}{4} = \frac{1}{6} + \frac{1}{4}

\frac{2}{3}x = \frac{1}{6}+ \frac{1}{4}

To add both 1/6 and 1/4 together we must have a common denomitor.

The common denominator for 1/6 and 1/4 is 12

\frac{2}{3}x = (\frac{1}{6}*\frac{2}{2}   ) + (\frac{1}{4}*\frac{3}{3}  )

Multiple to get the common denomiators

\frac{2}{3}x = (\frac{2}{12}) + (\frac{3}{12}  )

Now we can add the fractions.

\frac{2}{3}x = \frac{5}{12}

To get the x by itself we can either multiple by the reciprobcal of 2/3 or multiple by 3 and then divide by 2

(\frac{3}{2} )* \frac{2}{3} x = (\frac{5}{12})(\frac{3}{2})

The left side will become x as 3/2 and 2/3 cancel each other out

x = (\frac{5}{12}) (\frac{3}{2})

Multiple the right side to get a value for x

x = \frac{15}{24} or x = \frac{5}{8}

If you notice we can simplfy the fraction to 5/8

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