Question

Please find the what x equals

1) x/6=3/9
2) 9/12=x/8
3) 3/9=x/12
4) x/12=6/8

Answer 1

`1)\\(x)/(6)=(\\ot3^1)/(\\ot9_3)\\\\(x)/(6)=(1)/(3)\qquad\text{multiply both sides by 6}\\\\x=(1)/(\\ot3_1)\cdot\\ot6^2\\\\\boxed{x=2}\\\\2)\\(x)/(8)=(\\ot9^3)/(12\!\!\!\!\!\diagup_4)\\\\(x)/(8)=(3)/(4)\qquad\text{multiply both sides by 8}\\\\x=(3)/(\\ot4_1)\cdot\\ot8^2}\\\\x=3\cdot2\\\\\boxed{x=6}`

`3)\\(x)/(12)=(\\ot3^1)/(\\ot9_3)\\\\(x)/(12)=(1)/(3)\qquad\text{multiply both sides by 12}\\\\x=(1)/(\\ot3_1)\cdot12\!\!\!\!\!\diagup_4\\\\\boxed{x=4}\\\\4)\\(x)/(12)=(\\ot6^3)/(\\ot8_4)\\\\(x)/(12)=(3)/(4)\qquad\text{multiply both sides by 12}\\\\x=(3)/(\\ot4_1)\cdot12\!\!\!\!\!\diagup_3\\\\x=3\cdot3\\\\\boxed{x=9}`