Solve B=5/12/frac{7{3}*8/15-5/6}

$$B = \frac { \frac { 5 } { 12 } } { \frac { 7 } { 3 } \times \frac { 8 } { 15 } - \frac { 5 } { 6 } }$$

Solve for B

$$B = \frac{75}{74} = 1\frac{1}{74} \approx 1.013513514$$

Steps for Solving Linear Equation

Multiply \frac{7}{3} times \frac{8}{15} by multiplying numerator times numerator and denominator times denominator.

$$B=\frac{\frac{5}{12}}{\frac{7\times 8}{3\times 15}-\frac{5}{6}}$$

Do the multiplications in the fraction \frac{7\times 8}{3\times 15}.

$$B=\frac{\frac{5}{12}}{\frac{56}{45}-\frac{5}{6}}$$

Least common multiple of 45 and 6 is 90. Convert \frac{56}{45} and \frac{5}{6} to fractions with denominator 90.

$$B=\frac{\frac{5}{12}}{\frac{112}{90}-\frac{75}{90}}$$

Since \frac{112}{90} and \frac{75}{90} have the same denominator, subtract them by subtracting their numerators.

$$B=\frac{\frac{5}{12}}{\frac{112-75}{90}}$$

Subtract 75 from 112 to get 37.

$$B=\frac{\frac{5}{12}}{\frac{37}{90}}$$

Divide \frac{5}{12} by \frac{37}{90} by multiplying \frac{5}{12} by the reciprocal of \frac{37}{90}.

$$B=\frac{5}{12}\times \frac{90}{37}$$

Multiply \frac{5}{12} times \frac{90}{37} by multiplying numerator times numerator and denominator times denominator.

$$B=\frac{5\times 90}{12\times 37}$$

Do the multiplications in the fraction \frac{5\times 90}{12\times 37}.

$$B=\frac{450}{444}$$

Reduce the fraction \frac{450}{444} to lowest terms by extracting and canceling out 6.

$$B=\frac{75}{74}$$

Assign B

$$B≔\frac{75}{74}$$