Solve -1/4*8/6-7/18*9/21

$$- \frac{ 1 }{ 4 } \times \frac{ 8 }{ 6 } - \frac{ 7 }{ 18 } \times \frac{ 9 }{ 21 }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{4}\times \frac{4}{3}-\frac{7}{18}\times \frac{9}{21}$$

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

$$\frac{-4}{4\times 3}-\frac{7}{18}\times \frac{9}{21}$$

Cancel out 4 in both numerator and denominator.

$$\frac{-1}{3}-\frac{7}{18}\times \frac{9}{21}$$

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$-\frac{1}{3}-\frac{7}{18}\times \frac{9}{21}$$

Reduce the fraction \frac{9}{21} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{3}-\frac{7}{18}\times \frac{3}{7}$$

Multiply \frac{7}{18} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{3}-\frac{7\times 3}{18\times 7}$$

Cancel out 7 in both numerator and denominator.

$$-\frac{1}{3}-\frac{3}{18}$$

Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.

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

Least common multiple of 3 and 6 is 6. Convert -\frac{1}{3} and \frac{1}{6} to fractions with denominator 6.

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

Since -\frac{2}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from -2 to get -3.

$$\frac{-3}{6}$$

Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{2}$$

Factor

$$-\frac{1}{2} = -0.5$$