Solve 1-1/3div-3/8

$$1 - \frac { 1 } { 3 } \div - \frac { 3 } { 8 }$$

Evaluate

$$\frac{17}{9}\approx 1.888888889$$

Solution Steps

Divide \frac{1}{3} by -\frac{3}{8} by multiplying \frac{1}{3} by the reciprocal of -\frac{3}{8}.

$$1-\frac{1}{3}\left(-\frac{8}{3}\right)$$

Multiply \frac{1}{3} times -\frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{1\left(-8\right)}{3\times 3}$$

Do the multiplications in the fraction \frac{1\left(-8\right)}{3\times 3}.

$$1-\frac{-8}{9}$$

Fraction \frac{-8}{9} can be rewritten as -\frac{8}{9} by extracting the negative sign.

$$1-\left(-\frac{8}{9}\right)$$

The opposite of -\frac{8}{9} is \frac{8}{9}.

$$1+\frac{8}{9}$$

Convert 1 to fraction \frac{9}{9}.

$$\frac{9}{9}+\frac{8}{9}$$

Since \frac{9}{9} and \frac{8}{9} have the same denominator, add them by adding their numerators.

$$\frac{9+8}{9}$$

Add 9 and 8 to get 17.

$$\frac{17}{9}$$

Factor

$$\frac{17}{3 ^ {2}} = 1\frac{8}{9} = 1.8888888888888888$$