Solve 196/760*1.6=0.5/M*0.082*313

$$\frac { 196 } { 760 } \times 1.6 = \frac { 0.5 } { M } \times 0.082 \times 313$$

Solve for M

$$M = \frac{243827}{7840} = 31\frac{787}{7840} \approx 31.100382653$$

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 760M, the least common multiple of 760,M.

$$M\times 196\times 1.6=760\times 0.5\times 0.082\times 313$$

Multiply 196 and 1.6 to get 313.6.

$$M\times 313.6=760\times 0.5\times 0.082\times 313$$

Multiply 760 and 0.5 to get 380.

$$M\times 313.6=380\times 0.082\times 313$$

Multiply 380 and 0.082 to get 31.16.

$$M\times 313.6=31.16\times 313$$

Multiply 31.16 and 313 to get 9753.08.

$$M\times 313.6=9753.08$$

Divide both sides by 313.6.

$$M=\frac{9753.08}{313.6}$$

Expand \frac{9753.08}{313.6} by multiplying both numerator and the denominator by 100.

$$M=\frac{975308}{31360}$$

Reduce the fraction \frac{975308}{31360} to lowest terms by extracting and canceling out 4.

$$M=\frac{243827}{7840}$$