Mixed Number Algebra Problem With Solving For x

Question

I have a question about this Mixed Number Algebra Problem. Do you guys think you can help me solve this problem for x? Here is the question I wanted to answer,

Solving Equations Problem:

2 3/4x=33/2

Thank You And Please Solve This Problem If You Can Cause It Is An Important Problem!

Answer 1

Hello Kyra,

I'm assuming the equation is: (2 3/4)*x = 33/2

First, turn the mixed number into an improper fraction: 2 3/4 = [(2*4)+3] /4 = [8+3]/4 = 11/4

The equation is now: (11/4)*x = 33/2

You can now multiply both sides by 4 to get rid of the fractions: 4*(11/4)*x = 4*33/2

(44/4)*x = 132/2 ----> 11*x = 66

See how we got rid of fractions and now it's an easier equation to deal with.

Divide both sides by 11: x = 66/11 = 6

Answer: x = 6

Check: If you have a calculator: do (11/4)*6 and compare it to 33/2. They should be the same :)

Cheers.