Solve 20/8.7=5.8/m

$$\frac { 20 } { 8.7 } = \frac { 5.8 } { m }$$

Solve for m

$$m=2.523$$

Steps for Solving Linear Equation

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

$$m\times \frac{20}{8.7}=5.8$$

Expand \frac{20}{8.7} by multiplying both numerator and the denominator by 10.

$$m\times \frac{200}{87}=5.8$$

Multiply both sides by \frac{87}{200}, the reciprocal of \frac{200}{87}.

$$m=5.8\times \frac{87}{200}$$

Convert decimal number 5.8 to fraction \frac{58}{10}. Reduce the fraction \frac{58}{10} to lowest terms by extracting and canceling out 2.

$$m=\frac{29}{5}\times \frac{87}{200}$$

Multiply \frac{29}{5} times \frac{87}{200} by multiplying numerator times numerator and denominator times denominator.

$$m=\frac{29\times 87}{5\times 200}$$

Do the multiplications in the fraction \frac{29\times 87}{5\times 200}.

$$m=\frac{2523}{1000}$$