Solve A=(-5/8+-1/12)*4/-3+1quadB=

$$A = ( \frac { - 5 } { 8 } + \frac { - 1 } { 12 } ) \times \frac { 4 } { - 3 } + 1 \quad B =$$

Solve for A

$$A = \frac{17}{18} = 0.9444444444444444$$

Solution Steps

Fraction \frac{-5}{8} can be rewritten as -\frac{5}{8} by extracting the negative sign.

$$A=\left(-\frac{5}{8}+\frac{-1}{12}\right)\times \frac{4}{-3}+1B$$

Fraction \frac{-1}{12} can be rewritten as -\frac{1}{12} by extracting the negative sign.

$$A=\left(-\frac{5}{8}-\frac{1}{12}\right)\times \frac{4}{-3}+1B$$

Subtract \frac{1}{12} from -\frac{5}{8} to get -\frac{17}{24}.

$$A=-\frac{17}{24}\times \frac{4}{-3}+1B$$

Fraction \frac{4}{-3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

$$A=-\frac{17}{24}\left(-\frac{4}{3}\right)+1B$$

Multiply -\frac{17}{24} and -\frac{4}{3} to get \frac{17}{18}.

$$A=\frac{17}{18}+1B$$

Reorder the terms.

$$A=B+\frac{17}{18}$$

Solve for B

$$B = -\frac{17}{18} = -0.9444444444444444$$

Solution Steps

Fraction \frac{-5}{8} can be rewritten as -\frac{5}{8} by extracting the negative sign.

$$A=\left(-\frac{5}{8}+\frac{-1}{12}\right)\times \frac{4}{-3}+1B$$

Fraction \frac{-1}{12} can be rewritten as -\frac{1}{12} by extracting the negative sign.

$$A=\left(-\frac{5}{8}-\frac{1}{12}\right)\times \frac{4}{-3}+1B$$

Subtract \frac{1}{12} from -\frac{5}{8} to get -\frac{17}{24}.

$$A=-\frac{17}{24}\times \frac{4}{-3}+1B$$

Fraction \frac{4}{-3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

$$A=-\frac{17}{24}\left(-\frac{4}{3}\right)+1B$$

Multiply -\frac{17}{24} and -\frac{4}{3} to get \frac{17}{18}.

$$A=\frac{17}{18}+1B$$

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

$$\frac{17}{18}+1B=A$$

Subtract \frac{17}{18} from both sides.

$$1B=A-\frac{17}{18}$$

Reorder the terms.

$$B=A-\frac{17}{18}$$