Solve A=1/2+3/7*5/6-1

$$A = \frac { 1 } { 2 } + \frac { 3 } { 7 } \times \frac { 5 } { 6 } - 1$$

Solve for A

$$A=-\frac{1}{7}\approx -0.142857143$$

Steps for Solving Linear Equation

Multiply \frac{3}{7} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$A=\frac{1}{2}+\frac{3\times 5}{7\times 6}-1$$

Do the multiplications in the fraction \frac{3\times 5}{7\times 6}.

$$A=\frac{1}{2}+\frac{15}{42}-1$$

Reduce the fraction \frac{15}{42} to lowest terms by extracting and canceling out 3.

$$A=\frac{1}{2}+\frac{5}{14}-1$$

Least common multiple of 2 and 14 is 14. Convert \frac{1}{2} and \frac{5}{14} to fractions with denominator 14.

$$A=\frac{7}{14}+\frac{5}{14}-1$$

Since \frac{7}{14} and \frac{5}{14} have the same denominator, add them by adding their numerators.

$$A=\frac{7+5}{14}-1$$

Add 7 and 5 to get 12.

$$A=\frac{12}{14}-1$$

Reduce the fraction \frac{12}{14} to lowest terms by extracting and canceling out 2.

$$A=\frac{6}{7}-1$$

Convert 1 to fraction \frac{7}{7}.

$$A=\frac{6}{7}-\frac{7}{7}$$

Since \frac{6}{7} and \frac{7}{7} have the same denominator, subtract them by subtracting their numerators.

$$A=\frac{6-7}{7}$$

Subtract 7 from 6 to get -1.

$$A=-\frac{1}{7}$$

Assign A

$$A≔-\frac{1}{7}$$