Question

find the value of n: $3n (\frac{1}{4} ) = 16 \frac{1}{2}$

Answer 1

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

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

$\boldsymbol{\sf{ 12n\times\left(\dfrac{1 }{4}\right)=2(16\times2+1) }}$

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

$\boldsymbol{\sf{\dfrac{12}{4}n=2(16\times2+1) \ \ \longmapsto \ \ [Divide \ 12 \div 4.] }}$

$\boldsymbol{\sf{3n=2(16\times2+1) \ \ \longmapsto \ \ [ Multiply \ 16\times 2] }}$

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

$\boldsymbol{\sf{3n=2\times33 \ \ \longmapsto \ \ [Multiply] }}$

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

Divide both sides by 3.

$\boldsymbol{\sf{n=\dfrac{66}{3} \ \longmapsto \ \ [Split] } }$

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

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