Question

Please help :((
show that 2x+1 /3 + 5x-2 /2 simplifies to 19x-4 /6

Answer 1

Hello!

(2x+1)/3 + (5x-2)/2

= (4x+2)/6 + (15x-6)/6

= (4x+2+15x-6)/6

= (19x-4)/6

Answer 2

see explanation

Explanation:

`(2x+1)/(3)` +
`(5x-2)/(2)`

we require the denominators of both fractions to be the same value

the LCM of 2 and 3 is 6, so convert both denominators to 6

multiply the numerator/ denominator of the first fraction by 2

multiply the numerator/denominator of second fraction by 3

=
`(2(2x+1))/(3(2))` +
`(3(5x-2))/(2(3))`

=
`(4x+2)/(6)` +
`(15x-6)/(6)`

now add the numerators, with a common denominator of 6

=
`(4x+2+15x-6)/(6)`

=
`(19x-4)/(6)`