Question

Perform the indicated operation and simplify. (7/5x)-(4/3x)

Answer 1

1. Factor out x since it's common to both:

\[\left(\frac{7}{5} - \frac{4}{3}\right)x\]

2. Subtract the fractions
3. Then simplify

Answer 2

Out teacher wants us to find the LCD first

Answer 3

Factoring out the x is a good pre-step to the first step of Finding the LCD.

Answer 4

Consider factoring out the x "step zero"

Answer 5

oh okay

Answer 6

Do you know what the LCD is?

Answer 7

is it 3x and 5x?

Answer 8

so 15x?

Answer 9

Wait, is the original problem:

\[\frac{7}{5x} - \frac{4}{3x}\]

Answer 10

yes

Answer 11

I see. Well, you can still factor out 1/x:

\[\left(\frac{7}{5} - \frac{4}{3}\right)\frac{1}{x}\]

Answer 12

Now subtract

\[\frac{7}{5} - \frac{4}{3}\]

Answer 13

1/10?

Answer 14

wait no hold on

Answer 15

What ever happened to finding the LCD?

Answer 16

i messed up, just give me a minute

Answer 17

is it 1/15x, the lcd is 15x?

Answer 18

I thought we were just subtracting 7/5 - 4/3

Answer 19

its 1/15

Answer 20

yes

Answer 21

ok thanks :)