Solve 3/8x<2.706

$$\frac { 3 } { 8 } x < 2.706$$

Solve for x

$$x<\frac{902}{125}$$

Solution Steps

Multiply both sides by \frac{8}{3}, the reciprocal of \frac{3}{8}. Since \frac{3}{8} is positive, the inequality direction remains the same.

$$x<2.706\times \frac{8}{3}$$

Convert decimal number 2.706 to fraction \frac{2706}{1000}. Reduce the fraction \frac{2706}{1000} to lowest terms by extracting and canceling out 2.

$$x<\frac{1353}{500}\times \frac{8}{3}$$

Multiply \frac{1353}{500} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$x<\frac{1353\times 8}{500\times 3}$$

Do the multiplications in the fraction \frac{1353\times 8}{500\times 3}.

$$x<\frac{10824}{1500}$$

Reduce the fraction \frac{10824}{1500} to lowest terms by extracting and canceling out 12.

$$x<\frac{902}{125}$$