Question

Solve for t4¼ t___ = ___5⅕ 6⅙

Answer 1

We solve as follows:

`(4(1)/(4))/(5(1)/(5))=(t)/(6(1)/(6))\Rightarrow(((16)/(4)+(1)/(4)))/(((25)/(5)+(1)/(5)))=(t)/(((36)/(6)+(1)/(6)))`
`\Rightarrow((17)/(4))/((26)/(6))=(t)/((37)/(6))\Rightarrow(17\cdot6)/(4\cdot26)=(t\cdot6)/(37)`
`\Rightarrow(51)/(52)=(6)/(37)t\Rightarrow t=(51\cdot37)/(52\cdot6)`
`\Rightarrow t=(629)/(104)\Rightarrow t\approx6.05`

So, t is approximately 6.05.