Solve 14/1.5=4.2/y

$$\frac { 14 } { 1.5 } = \frac { 4.2 } { y }$$

Solve for y

$$y=0.45$$

Steps for Solving Linear Equation

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

$$y\times \frac{14}{1.5}=4.2$$

Expand \frac{14}{1.5} by multiplying both numerator and the denominator by 10.

$$y\times \frac{140}{15}=4.2$$

Reduce the fraction \frac{140}{15} to lowest terms by extracting and canceling out 5.

$$y\times \frac{28}{3}=4.2$$

Multiply both sides by \frac{3}{28}, the reciprocal of \frac{28}{3}.

$$y=4.2\times \frac{3}{28}$$

Convert decimal number 4.2 to fraction \frac{42}{10}. Reduce the fraction \frac{42}{10} to lowest terms by extracting and canceling out 2.

$$y=\frac{21}{5}\times \frac{3}{28}$$

Multiply \frac{21}{5} times \frac{3}{28} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{21\times 3}{5\times 28}$$

Do the multiplications in the fraction \frac{21\times 3}{5\times 28}.

$$y=\frac{63}{140}$$

Reduce the fraction \frac{63}{140} to lowest terms by extracting and canceling out 7.

$$y=\frac{9}{20}$$