Solve 46/17divx=45/8div32/5

$$4 \frac { 6 } { 17 } \div x= 4 \frac { 5 } { 8 } \div 3 \frac { 2 } { 5 }$$

Solve for x

$$x = \frac{16}{5} = 3\frac{1}{5} = 3.2$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$\frac{4\times 17+6}{17}=\frac{5}{17}x\times \frac{4\times 8+5}{8}$$

Multiply 4 and 17 to get 68.

$$\frac{68+6}{17}=\frac{5}{17}x\times \frac{4\times 8+5}{8}$$

Add 68 and 6 to get 74.

$$\frac{74}{17}=\frac{5}{17}x\times \frac{4\times 8+5}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{74}{17}=\frac{5}{17}x\times \frac{32+5}{8}$$

Add 32 and 5 to get 37.

$$\frac{74}{17}=\frac{5}{17}x\times \frac{37}{8}$$

Multiply \frac{5}{17} times \frac{37}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{74}{17}=\frac{5\times 37}{17\times 8}x$$

Do the multiplications in the fraction \frac{5\times 37}{17\times 8}.

$$\frac{74}{17}=\frac{185}{136}x$$

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

$$\frac{185}{136}x=\frac{74}{17}$$

Multiply both sides by \frac{136}{185}, the reciprocal of \frac{185}{136}.

$$x=\frac{74}{17}\times \frac{136}{185}$$

Multiply \frac{74}{17} times \frac{136}{185} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{74\times 136}{17\times 185}$$

Do the multiplications in the fraction \frac{74\times 136}{17\times 185}.

$$x=\frac{10064}{3145}$$

Reduce the fraction \frac{10064}{3145} to lowest terms by extracting and canceling out 629.

$$x=\frac{16}{5}$$