Solve A=left(2/15+17/12right)30/103-(2div2.25)*0.28125

$$A = \left( \frac{ 2 }{ 15 } +1 \frac{ 7 }{ 12 } \right) \frac{ 30 }{ 103 } -(2 \div 2.25) \times 0.28125$$

Solve for A

$$A=0.25$$

Steps for Solving Linear Equation

Multiply 1 and 12 to get 12.

$$A=\left(\frac{2}{15}+\frac{12+7}{12}\right)\times \frac{30}{103}-\frac{2}{2.25}\times 0.28125$$

Add 12 and 7 to get 19.

$$A=\left(\frac{2}{15}+\frac{19}{12}\right)\times \frac{30}{103}-\frac{2}{2.25}\times 0.28125$$

Least common multiple of 15 and 12 is 60. Convert \frac{2}{15} and \frac{19}{12} to fractions with denominator 60.

$$A=\left(\frac{8}{60}+\frac{95}{60}\right)\times \frac{30}{103}-\frac{2}{2.25}\times 0.28125$$

Since \frac{8}{60} and \frac{95}{60} have the same denominator, add them by adding their numerators.

$$A=\frac{8+95}{60}\times \frac{30}{103}-\frac{2}{2.25}\times 0.28125$$

Add 8 and 95 to get 103.

$$A=\frac{103}{60}\times \frac{30}{103}-\frac{2}{2.25}\times 0.28125$$

Multiply \frac{103}{60} times \frac{30}{103} by multiplying numerator times numerator and denominator times denominator.

$$A=\frac{103\times 30}{60\times 103}-\frac{2}{2.25}\times 0.28125$$

Cancel out 103 in both numerator and denominator.

$$A=\frac{30}{60}-\frac{2}{2.25}\times 0.28125$$

Reduce the fraction \frac{30}{60} to lowest terms by extracting and canceling out 30.

$$A=\frac{1}{2}-\frac{2}{2.25}\times 0.28125$$

Expand \frac{2}{2.25} by multiplying both numerator and the denominator by 100.

$$A=\frac{1}{2}-\frac{200}{225}\times 0.28125$$

Reduce the fraction \frac{200}{225} to lowest terms by extracting and canceling out 25.

$$A=\frac{1}{2}-\frac{8}{9}\times 0.28125$$

Convert decimal number 0.28125 to fraction \frac{28125}{100000}. Reduce the fraction \frac{28125}{100000} to lowest terms by extracting and canceling out 3125.

$$A=\frac{1}{2}-\frac{8}{9}\times \frac{9}{32}$$

Multiply \frac{8}{9} times \frac{9}{32} by multiplying numerator times numerator and denominator times denominator.

$$A=\frac{1}{2}-\frac{8\times 9}{9\times 32}$$

Cancel out 9 in both numerator and denominator.

$$A=\frac{1}{2}-\frac{8}{32}$$

Reduce the fraction \frac{8}{32} to lowest terms by extracting and canceling out 8.

$$A=\frac{1}{2}-\frac{1}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$A=\frac{2}{4}-\frac{1}{4}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$A=\frac{2-1}{4}$$

Subtract 1 from 2 to get 1.

$$A=\frac{1}{4}$$

Assign A

$$A≔0.25$$