Question

3x-1/3 - x-3/15 = 2x+3/2 (fractions)

Answer 1

hannah, your parentheses

Answer 2

\(\large\frac{3x-1}{3} - \frac{x-3}{15} = \frac{2x+3}{2}\)

Answer 3

Hint: Multiply the first fraction by 5/5

Answer 4

@Hero why multiply by 5/5?

Answer 5

i thought tht u would need a common denominator?

Answer 6

@hannah2013 , you're right, and the best way to do this is by multiplying individual fractions by the LCM of 2, 3 and 15 which is?

Answer 7

30

Answer 8

right, now multiply each fraction by 30 and type resulting equation

Answer 9

(30x-1)/30
(2x-6)/30
(30x+45)/30

Answer 10

If you multiply the first fraction by 5/5 you get

\(\large\frac{15x - 5}{15} - \frac{x - 3}{15} = \frac{2x+3}{2} \)

Answer 11

Now you can combine the first and second fractions on the left side to get:

\(\large\frac{14x - 8}{15} = \frac{2x+3}{2}\)

Now cross multiply

Answer 12

@Hero thts what i got but what about the last fraction?

Answer 13

2(14x - 8) = 15(2x + 3)

Answer 14

28x - 16 = 30x + 45

Answer 15

ohhhhhhh

Answer 16

@Hero the idea is to eliminate the denominator completely so that you just work with whole numbers. @hannah2013 , do it like this and write resulting equation