Solve 1/7*-9/2-1/6*-9/2

$$\frac{ 1 }{ 7 } \times - \frac{ 9 }{ 2 } - \frac{ 1 }{ 6 } \times - \frac{ 9 }{ 2 }$$

Evaluate

$$\frac{3}{28}\approx 0.107142857$$

Solution Steps

Multiply \frac{1}{7} times -\frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-9\right)}{7\times 2}-\frac{1}{6}\left(-\frac{9}{2}\right)$$

Do the multiplications in the fraction \frac{1\left(-9\right)}{7\times 2}.

$$\frac{-9}{14}-\frac{1}{6}\left(-\frac{9}{2}\right)$$

Fraction \frac{-9}{14} can be rewritten as -\frac{9}{14} by extracting the negative sign.

$$-\frac{9}{14}-\frac{1}{6}\left(-\frac{9}{2}\right)$$

Multiply \frac{1}{6} times -\frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{9}{14}-\frac{1\left(-9\right)}{6\times 2}$$

Do the multiplications in the fraction \frac{1\left(-9\right)}{6\times 2}.

$$-\frac{9}{14}-\frac{-9}{12}$$

Reduce the fraction \frac{-9}{12} to lowest terms by extracting and canceling out 3.

$$-\frac{9}{14}-\left(-\frac{3}{4}\right)$$

The opposite of -\frac{3}{4} is \frac{3}{4}.

$$-\frac{9}{14}+\frac{3}{4}$$

Least common multiple of 14 and 4 is 28. Convert -\frac{9}{14} and \frac{3}{4} to fractions with denominator 28.

$$-\frac{18}{28}+\frac{21}{28}$$

Since -\frac{18}{28} and \frac{21}{28} have the same denominator, add them by adding their numerators.

$$\frac{-18+21}{28}$$

Add -18 and 21 to get 3.

$$\frac{3}{28}$$

Factor

$$\frac{3}{2 ^ {2} \cdot 7} = 0.10714285714285714$$