Solve 84/5/1frac{1{10}}=x/0.4

$$\frac { 8 \frac { 4 } { 5 } } { 1 \frac { 1 } { 10 } } = \frac { x } { 0.4 }$$

Solve for x

$$x=3.2$$

Steps for Solving Linear Equation

Divide \frac{8\times 5+4}{5} by \frac{1\times 10+1}{10} by multiplying \frac{8\times 5+4}{5} by the reciprocal of \frac{1\times 10+1}{10}.

$$\frac{\left(8\times 5+4\right)\times 10}{5\left(1\times 10+1\right)}=\frac{x}{0.4}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2\left(4+5\times 8\right)}{1+10}=\frac{x}{0.4}$$

Multiply 5 and 8 to get 40.

$$\frac{2\left(4+40\right)}{1+10}=\frac{x}{0.4}$$

Add 4 and 40 to get 44.

$$\frac{2\times 44}{1+10}=\frac{x}{0.4}$$

Multiply 2 and 44 to get 88.

$$\frac{88}{1+10}=\frac{x}{0.4}$$

Add 1 and 10 to get 11.

$$\frac{88}{11}=\frac{x}{0.4}$$

Divide 88 by 11 to get 8.

$$8=\frac{x}{0.4}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{x}{0.4}=8$$

Multiply both sides by 0.4.

$$x=8\times 0.4$$

Multiply 8 and 0.4 to get 3.2.

$$x=3.2$$