Need help understanding this Math problem

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I am having some trouble understanding how to solve this problem:

3/4 x = 3 1/2  M 4; D 3 or Multiply by 4; Divide by 3

Oct 28th, 2015

Thank you for the opportunity to help you with your question!

(3/4)x=3.5*4 because 3 1/2 = 3.5

(3/4)x=14 Divide both sides by 3/4.

x=14/(3/4) Dividing by a fraction is the same as multiplying by its reciprocal (4/3)

x=14*(4/3)

x=56/3

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 28th, 2015

Thanks, but still having a tough time understanding. Maybe you could narrow the problem down a bit? 

Oct 28th, 2015

Well first you simplify the right side. You just multiply the numbers together. You could easily use a calculator for this. Then divide both sides by the coefficient in front of x. When you do this the coefficient in front of x becomes 1 because any number divided by itself is 1. On the right when you divide by a fraction it is the same as multiplying by the reciprocal (flipped version) of the fraction. The 14 multiplies with the 4 because they are both in the numerator while the denominator stays unchanged.

Oct 28th, 2015

That makes a bit more sense, thank you.

Oct 28th, 2015

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