Solve -2/3*9/74*-23/42

$$- \frac { 2 } { 3 } \times \frac { 9 } { 74 } \times - \frac { 23 } { 42 }$$

Evaluate

$$\frac{23}{518}\approx 0.044401544$$

Solution Steps

Multiply -\frac{2}{3} times \frac{9}{74} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2\times 9}{3\times 74}\left(-\frac{23}{42}\right)$$

Do the multiplications in the fraction \frac{-2\times 9}{3\times 74}.

$$\frac{-18}{222}\left(-\frac{23}{42}\right)$$

Reduce the fraction \frac{-18}{222} to lowest terms by extracting and canceling out 6.

$$-\frac{3}{37}\left(-\frac{23}{42}\right)$$

Multiply -\frac{3}{37} times -\frac{23}{42} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\left(-23\right)}{37\times 42}$$

Do the multiplications in the fraction \frac{-3\left(-23\right)}{37\times 42}.

$$\frac{69}{1554}$$

Reduce the fraction \frac{69}{1554} to lowest terms by extracting and canceling out 3.

$$\frac{23}{518}$$

Factor

$$\frac{23}{2 \cdot 7 \cdot 37} = 0.0444015444015444$$