Solve 220*220/503/4=5/M7/2frac{25}{3}10

$$\frac{ 220 \times 220 }{ 50 } \frac{ 3 }{ 4 } = \frac{ 5 }{ M } \frac{ 7 }{ 2 } \frac{ 25 }{ 3 } 10$$

Solve for M

$$M = \frac{4375}{2178} = 2\frac{19}{2178} \approx 2.0087236$$

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 300M, the least common multiple of 50,4,M,2,3.

$$6M\times 220\times 220\times \frac{3}{4}=300\times 5\times \frac{7}{2}\times \frac{25}{3}\times 10$$

Multiply 6 and 220 to get 1320.

$$1320M\times 220\times \frac{3}{4}=300\times 5\times \frac{7}{2}\times \frac{25}{3}\times 10$$

Multiply 1320 and 220 to get 290400.

$$290400M\times \frac{3}{4}=300\times 5\times \frac{7}{2}\times \frac{25}{3}\times 10$$

Express 290400\times \frac{3}{4} as a single fraction.

$$\frac{290400\times 3}{4}M=300\times 5\times \frac{7}{2}\times \frac{25}{3}\times 10$$

Multiply 290400 and 3 to get 871200.

$$\frac{871200}{4}M=300\times 5\times \frac{7}{2}\times \frac{25}{3}\times 10$$

Divide 871200 by 4 to get 217800.

$$217800M=300\times 5\times \frac{7}{2}\times \frac{25}{3}\times 10$$

Multiply 300 and 5 to get 1500.

$$217800M=1500\times \frac{7}{2}\times \frac{25}{3}\times 10$$

Express 1500\times \frac{7}{2} as a single fraction.

$$217800M=\frac{1500\times 7}{2}\times \frac{25}{3}\times 10$$

Multiply 1500 and 7 to get 10500.

$$217800M=\frac{10500}{2}\times \frac{25}{3}\times 10$$

Divide 10500 by 2 to get 5250.

$$217800M=5250\times \frac{25}{3}\times 10$$

Express 5250\times \frac{25}{3} as a single fraction.

$$217800M=\frac{5250\times 25}{3}\times 10$$

Multiply 5250 and 25 to get 131250.

$$217800M=\frac{131250}{3}\times 10$$

Divide 131250 by 3 to get 43750.

$$217800M=43750\times 10$$

Multiply 43750 and 10 to get 437500.

$$217800M=437500$$

Divide both sides by 217800.

$$M=\frac{437500}{217800}$$

Reduce the fraction \frac{437500}{217800} to lowest terms by extracting and canceling out 100.

$$M=\frac{4375}{2178}$$