Solve 1/4*(-2/3)-1/3*21/2

$$\frac{ 1 }{ 4 } \times (- \frac{ 2 }{ 3 } )- \frac{ 1 }{ 3 } \times 2 \frac { 1 } { 2 }$$

Evaluate

$$-1$$

Solution Steps

Multiply \frac{1}{4} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-2\right)}{4\times 3}-\frac{1}{3}\times \frac{2\times 2+1}{2}$$

Do the multiplications in the fraction \frac{1\left(-2\right)}{4\times 3}.

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

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

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

Multiply 2 and 2 to get 4.

$$-\frac{1}{6}-\frac{1}{3}\times \frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$-\frac{1}{6}-\frac{1}{3}\times \frac{5}{2}$$

Multiply \frac{1}{3} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{6}-\frac{1\times 5}{3\times 2}$$

Do the multiplications in the fraction \frac{1\times 5}{3\times 2}.

$$-\frac{1}{6}-\frac{5}{6}$$

Since -\frac{1}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-5}{6}$$

Subtract 5 from -1 to get -6.

$$\frac{-6}{6}$$

Divide -6 by 6 to get -1.

$$-1$$

Factor

$$-1$$