Question

how do you add fractions that have the variable x as their numerator?

Answer 1

give an example

Answer 2

Same way you add normal numbers......

Answer 3

like x/2 + x/3-x/5-x/4

Answer 4

you change them to common denominators first

Answer 5

i.e.
\[\frac{a}{3} + \frac{a}{2} \implies \frac{2a}{6} + \frac{3a}{6} \implies \frac{ 2a + 3a}{6} \implies \frac{5a}{6}\]

Answer 6

\[x \div2+x ^{2}/3-x \div5-x ^{2}\div4\]

Answer 7

is this your question:
\[\LARGE \frac x2 + \frac{x^2}{3} - \frac x5 - \frac{x^2}{4}\]

Answer 8

yah

Answer 9

i don't know how to simplify it

Answer 10

hmm....im trying to think the simplest way to explain LCM..

Answer 11

(Half less a fifth) x plus (Third less a quarter) x^2

To start with

Answer 12

thanks everyone, i understand it now.

Answer 13

Find the LCM of the fractions. To do this you use prime factorization
\[\frac{x}{2} +\frac{x^2}{3}-\frac{x}{5} -\frac{x^2}{4} \]
Now what are the prime factors of 2,3,4,5

2 = 1*2
3= 1*3
4= 2*2
5 = 1*5

Those our the prime factors. Now find the LCM.
2*2*3*5 = 120

now times this by each fraction
\[120(\frac{x}{2} +\frac{x^2}{3}-\frac{x}{5} -\frac{x^2}{4}) \]
\[60x + 40x^2 - 24x - 30x^2\]
Organize
\[40x^2- 30x^2+60x - 24x \]
Do the math
\[10x^2+36x \]

Answer 14

This is the best response so far, thank you :)