Solve 281/2-41/8+15/4-31/4=M

$$28 \frac { 1 } { 2 } - 4 \frac { 1 } { 8 } + 1 \frac { 5 } { 4 } - 3 \frac { 1 } { 4 } = M$$

Solve for M

$$M = \frac{187}{8} = 23\frac{3}{8} = 23.375$$

Steps for Solving Linear Equation

Multiply 28 and 2 to get 56.

$$\frac{56+1}{2}-\frac{4\times 8+1}{8}+\frac{1\times 4+5}{4}-\frac{3\times 4+1}{4}=M$$

Add 56 and 1 to get 57.

$$\frac{57}{2}-\frac{4\times 8+1}{8}+\frac{1\times 4+5}{4}-\frac{3\times 4+1}{4}=M$$

Multiply 4 and 8 to get 32.

$$\frac{57}{2}-\frac{32+1}{8}+\frac{1\times 4+5}{4}-\frac{3\times 4+1}{4}=M$$

Add 32 and 1 to get 33.

$$\frac{57}{2}-\frac{33}{8}+\frac{1\times 4+5}{4}-\frac{3\times 4+1}{4}=M$$

Least common multiple of 2 and 8 is 8. Convert \frac{57}{2} and \frac{33}{8} to fractions with denominator 8.

$$\frac{228}{8}-\frac{33}{8}+\frac{1\times 4+5}{4}-\frac{3\times 4+1}{4}=M$$

Since \frac{228}{8} and \frac{33}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{228-33}{8}+\frac{1\times 4+5}{4}-\frac{3\times 4+1}{4}=M$$

Subtract 33 from 228 to get 195.

$$\frac{195}{8}+\frac{1\times 4+5}{4}-\frac{3\times 4+1}{4}=M$$

Multiply 1 and 4 to get 4.

$$\frac{195}{8}+\frac{4+5}{4}-\frac{3\times 4+1}{4}=M$$

Add 4 and 5 to get 9.

$$\frac{195}{8}+\frac{9}{4}-\frac{3\times 4+1}{4}=M$$

Least common multiple of 8 and 4 is 8. Convert \frac{195}{8} and \frac{9}{4} to fractions with denominator 8.

$$\frac{195}{8}+\frac{18}{8}-\frac{3\times 4+1}{4}=M$$

Since \frac{195}{8} and \frac{18}{8} have the same denominator, add them by adding their numerators.

$$\frac{195+18}{8}-\frac{3\times 4+1}{4}=M$$

Add 195 and 18 to get 213.

$$\frac{213}{8}-\frac{3\times 4+1}{4}=M$$

Multiply 3 and 4 to get 12.

$$\frac{213}{8}-\frac{12+1}{4}=M$$

Add 12 and 1 to get 13.

$$\frac{213}{8}-\frac{13}{4}=M$$

Least common multiple of 8 and 4 is 8. Convert \frac{213}{8} and \frac{13}{4} to fractions with denominator 8.

$$\frac{213}{8}-\frac{26}{8}=M$$

Since \frac{213}{8} and \frac{26}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{213-26}{8}=M$$

Subtract 26 from 213 to get 187.

$$\frac{187}{8}=M$$

Swap sides so that all variable terms are on the left hand side.

$$M=\frac{187}{8}$$