Solving equations that include fractions

nsdragonlady

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Feb 8, 2007
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I'm having a hard time solving equations that include fractions. Please provide help/guidance with the following problem:

4x - 3/5 = 3x + 1/10

Thanks
 
The best way to get rid of fractions in an equation is to multiply both sides of the equation with a number that will eliminate them. Note that when you multiply both sides of an equation with a non-zero number, your equation remains the same.

In your example, you have 5 and 10 in the denominators.

\(\displaystyle \L 4x - \frac{3}{5} = 3x + \frac{1}{10}\)

Now multiply both sides with 10,

\(\displaystyle \L 40x - 6 = 30x + 1\)

Can you solve it now?
 
nsdragonlady said:
I'm having a hard time solving equations that include fractions. Please provide help/guidance with the following problem:

4x - 3/5 = 3x + 1/10

Thanks
You can resist the temptation to avoid fractions. They are not evil. Often, one might go to the trouble to remove fractions, only to put them right back. Fractions are just numbers. Learn to use them. I have yet to be bitten by a fraction.

4x - 3/5 = 3x + 1/10

4x - 3x = 3/5 + 1/10

4x - 3x = 6/10 + 1/10

x = 7/10

Relatively painless.
 
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