Question

COULD SOMEONE HELP ME PLEASE

4/5n = 2/3 what is n?

2/15

5/6

1 1/5

1 7/15

Answer 1

`n=(5)/(6)`

Explanation:

`(4)/(5)n=(2)/(3)`

`5\cdot (4)/(5)n=(2\cdot \:5)/(3)`

`4n=(10)/(3)`

`(4n)/(4)=((10)/(3))/(4)`

`n=(5)/(6)`

Answer 2

`\huge\text{Hey there!}`

`\mathsf{(4)/(5)n = (2)/(3)}`

`\textsf{Multiply by the reciprocal of }\mathsf{(4)/(5)}\textsf{ to both sides, which is }\mathsf{(5)/(4).}`

`\textsf{Multiply }\mathsf{(5)/(4)}\textsf{ to both sides:}`

`\mathsf{(4)/(5)n * (5)/(4)= (2)/(3)*(5)/(4)}`

`\textsf{Simplify it: }`

`\mathsf{n = (5)/(4)*(2)/(3)}`

`\mathsf{n = (5*2)/(4*3)}`

`\mathsf{n = (10)/(12)}`

`\mathsf{n = (10/2)/(12/2)}`

`\mathsf{n = (5)/(6)}`

`\huge\textbf{Therefore, your answer should be:}`

`\huge\boxed{\textsf{Option B. }\frak{(5)/(6)}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`