Find the value of n: 3n ((1)/(4) ) = 16 (1)/(2)

Question

Find the value of n:
`3n ((1)/(4) ) = 16 (1)/(2)`

Answer 1

`\boldsymbol{\sf{3n\left((1)/(4)\right)=16(1)/(2) } }`

Multiply both sides of the equation by 4, the lowest common denominator of 4.2.

`\boldsymbol{\sf{ 12n*\left((1 )/(4)\right)=2(16*2+1) }}`

Multiply 12 and 1/4, because once multiplied, we get the following 12/4.

`\boldsymbol{\sf{(12)/(4)n=2(16*2+1) \ \ \longmapsto \ \ [Divide \ 12 / 4.] }}`

`\boldsymbol{\sf{3n=2(16*2+1) \ \ \longmapsto \ \ [ Multiply \ 16* 2] }}`

`\boldsymbol{\sf{3n=2(32+1) \ \longmapsto \ \ [Add] }}`

`\boldsymbol{\sf{3n=2*33 \ \ \longmapsto \ \ [Multiply] }}`

`\boldsymbol{\sf{3n=66}}`

Divide both sides by 3.

`\boldsymbol{\sf{n=(66)/(3) \ \longmapsto \ \ [Split] } }`

`\boxed{\boldsymbol{\sf{n=22}}}`

Once the exercise is solved, we find that the value of n is 22.