Solve 3/8x=9/10*12/25

$$\frac { 3 } { 8 } x = \frac { 9 } { 10 } \times \frac { 12 } { 25 }$$

Solve for x

$$x = \frac{144}{125} = 1\frac{19}{125} = 1.152$$

Steps for Solving Linear Equation

Multiply \frac{9}{10} times \frac{12}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{8}x=\frac{9\times 12}{10\times 25}$$

Do the multiplications in the fraction \frac{9\times 12}{10\times 25}.

$$\frac{3}{8}x=\frac{108}{250}$$

Reduce the fraction \frac{108}{250} to lowest terms by extracting and canceling out 2.

$$\frac{3}{8}x=\frac{54}{125}$$

Multiply both sides by \frac{8}{3}, the reciprocal of \frac{3}{8}.

$$x=\frac{54}{125}\times \frac{8}{3}$$

Multiply \frac{54}{125} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{54\times 8}{125\times 3}$$

Do the multiplications in the fraction \frac{54\times 8}{125\times 3}.

$$x=\frac{432}{375}$$

Reduce the fraction \frac{432}{375} to lowest terms by extracting and canceling out 3.

$$x=\frac{144}{125}$$