If4 times the reciprocal of a number is 3 more than 5/2 times the reciprocal of that number find the number Show your work

[tex]x-number\\x\neq 0\\ \\
4 \cdot \frac1x=3+\frac52 \cdot \frac1x\\
\frac4x=3+\frac5{2x}\ / \cdot 2x\\
8=6x+5\\
6x=8-5\\
6x=3\ /:6\\
x=\frac36=\frac12
[/tex]

1)4·1/n = 3 + 5/2n²⁾4/n = ²ⁿ⁾3 + 5/2n8 = 6n + 56n = 8 - 56n = 3n = 3⁽²/6n = 1/2