Question

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

Answer 1

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

Answer 2

1)

4·1/n = 3 + 5/2n

²⁾4/n = ²ⁿ⁾3 + 5/2n

8 = 6n + 5

6n = 8 - 5

6n = 3

n = 3⁽²/6

n = 1/2