Question

how do you solve 4/15-3/5=x-4/3

Answer 1

Multiply both sides by 15 to eliminate the denominators.

Answer 2

how do you muliply both sides by 15

Answer 3

\(15\left(\dfrac{4}{15} - \dfrac{3}{5}\right) = 15\left(x - \dfrac{4}{3}\right)\)

Answer 4

do i need to remove the parentheses

Answer 5

You can only remove the parentheses after apply the distributive rule.

Answer 6

\(15\left(\dfrac{4}{15}\right) - 15\left(\dfrac{3}{5}\right) = 15x - 15\left(\dfrac{4}{3}\right)\)

Answer 7

still confused.

Answer 8

by multiplying both sides by the common denominator...this gets rid of the fractions

Answer 9

15x=4/3

Answer 10

or you can do it with the fractions.
4/15 - 3/5 = x - 4/3 --- add 4/3 to both sides
4/15 - 3/5 + 4/3 = x
now...to add/subtract fractions you need a common denominator. A number that all your denominators go into evenly. That would be 15.
4/15 = 4/15
-3/5 = - 9/15
4/3 = 20/15

now we re-write the problem
4/15 - 9/15 + 20/15 = x

now do the math and what do you get ?

Answer 11

43/15

Answer 12

(4 - 9 + 20) / 15 = x
15/15 = x
1 = x

check..
4/15 - 3/5 = x - 4/3
4/15 - 9/15 = 1 - 20/15
4/15 - 9/15 = 15/15 - 20/15
-5/15 = -5/15 (correct)

so x = 1

Answer 13

oh ok I see. Thank You

Answer 14

YW :)