Solve 5/16quad1/4xdiv0.25=13/27quad8/90

$$\frac { 5 } { 16 } \quad \frac { 1 } { 4 } x \div 0.25 = \frac { 13 } { 27 } \quad \frac { 8 } { 90 }$$

Solve for x

$$x=\frac{832}{6075}\approx 0.136954733$$

Steps for Solving Linear Equation

Cancel out 0.25 and 0.25.

$$\frac{5}{16}x=\frac{13}{27}\times \frac{8}{90}$$

Reduce the fraction \frac{8}{90} to lowest terms by extracting and canceling out 2.

$$\frac{5}{16}x=\frac{13}{27}\times \frac{4}{45}$$

Multiply \frac{13}{27} times \frac{4}{45} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{16}x=\frac{13\times 4}{27\times 45}$$

Do the multiplications in the fraction \frac{13\times 4}{27\times 45}.

$$\frac{5}{16}x=\frac{52}{1215}$$

Multiply both sides by \frac{16}{5}, the reciprocal of \frac{5}{16}.

$$x=\frac{52}{1215}\times \frac{16}{5}$$

Multiply \frac{52}{1215} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{52\times 16}{1215\times 5}$$

Do the multiplications in the fraction \frac{52\times 16}{1215\times 5}.

$$x=\frac{832}{6075}$$