Solve 9/8*3/4=x5/2

$$\frac { 9 } { 8 } \cdot \frac { 3 } { 4 } = x \frac { 5 } { 2 }$$

Solve for x

$$x=\frac{27}{80}=0.3375$$

Steps for Solving Linear Equation

Multiply \frac{9}{8} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 3}{8\times 4}=x\times \frac{5}{2}$$

Do the multiplications in the fraction \frac{9\times 3}{8\times 4}.

$$\frac{27}{32}=x\times \frac{5}{2}$$

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

$$x\times \frac{5}{2}=\frac{27}{32}$$

Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.

$$x=\frac{27}{32}\times \frac{2}{5}$$

Multiply \frac{27}{32} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{27\times 2}{32\times 5}$$

Do the multiplications in the fraction \frac{27\times 2}{32\times 5}.

$$x=\frac{54}{160}$$

Reduce the fraction \frac{54}{160} to lowest terms by extracting and canceling out 2.

$$x=\frac{27}{80}$$