Simplify 3/5x+x

Answer 1

Hello Houssey D.,

Thanks for submitting your problem. Since it is not quite clear on what you are being asked to simply, I will assume both scenarios and give an answer for both:

i. (3/5)x + x

Can both be combined? Yes and simplified. You have a fraction as a coefficient and a whole number. To combine without using a calculator, you have to change the coefficient of x to match the fractional coefficient: (3/5)x + (1)x = (3/5)x + (5/5/)x = [(3+5)/5]x = (8/5)x

ii. 3/(5x) + x

Can both be combined? Yes but not simplified. You have a fraction as a coefficient and a whole number. To combine without using a calculator, you have to change the coefficient of x to match the fractional coefficient: 3/5x + x = 3/5x + 1x = 3/5x + 5x*x/5x = (3+5x*x)/5x = 3+5x²/5x

Hope this helps.

-Stephanie G.