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# -1/6 - 5/4M = -3/5 (solving an equation with fractions)?

i only know how to solve it by converting it to decimals! can someone explain how to do it with fractions? thanks! Okay, this problem can be easy if you make it easy for you. This is how I would solve it. I would find common denominators for ALL of the numbers, including the -5/4m. (Try using 36 as the denominator.) Then the problem would look like this: -6/36-45/36m= -21/36. (Remember, you have to multiply the top AND the bottom of ALL numbers, keeping the negative sign.) After that, I would solve it like a normal problem by adding. It would look like this:

-6/36-45/36m= -21/36

+6/36 + 6/36

Then, crossout 6/36 to make it less confusing. Add and keep the negative. So the problem would then be:

-45/36= -15/36

After that, solve the problem different ways, because I kind of lost myself with the -15/36 and the -45/36. That's as far as I can get you! Good luck and I hope I've helped! another way to do it (although someone already posted the answer) is to just try to find a common denominator for everything. Remember that if you do something to the top of the fraction, you need to do it to the bottom. (so in their answer, you have -1/6*5/5 + 3/5*6/6, so you would have -5/30 + 18/30.)

Or, you could give everything a common denominator, but that's more complicated...

-1/6*20/20 - 5/4*30/30 * M = -3/5*24/24

-20/120 - 150/120 * M = -72/120

Then you can drop the denominators for everything.

-20 - 150 * M = -72

-20 + 72 = 150 * M

52 = 150 * M

52/150 = M

You get the same answer, but it was a little more work.

It just shows there is more than one way to do a problem.

Reference: 3 years tutoring math, plus many years of doing math