Solve -1/4div3/8+(2-1/3)

$$- \frac { 1 } { 4 } \div \frac { 3 } { 8 } + ( 2 \frac { - 1 } { 3 } )$$

Evaluate

$$1$$

Solution Steps

Divide -\frac{1}{4} by \frac{3}{8} by multiplying -\frac{1}{4} by the reciprocal of \frac{3}{8}.

$$-\frac{1}{4}\times \frac{8}{3}+\frac{2\times 3-1}{3}$$

Multiply -\frac{1}{4} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-8}{4\times 3}+\frac{2\times 3-1}{3}$$

Do the multiplications in the fraction \frac{-8}{4\times 3}.

$$\frac{-8}{12}+\frac{2\times 3-1}{3}$$

Reduce the fraction \frac{-8}{12} to lowest terms by extracting and canceling out 4.

$$-\frac{2}{3}+\frac{2\times 3-1}{3}$$

Multiply 2 and 3 to get 6.

$$-\frac{2}{3}+\frac{6-1}{3}$$

Subtract 1 from 6 to get 5.

$$-\frac{2}{3}+\frac{5}{3}$$

Since -\frac{2}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.

$$\frac{-2+5}{3}$$

Add -2 and 5 to get 3.

$$\frac{3}{3}$$

Divide 3 by 3 to get 1.

$$1$$

Factor

$$1$$