Solve -9/4*(-7/3)*2

$$- \frac { 9 } { 4 } \cdot ( - \frac { 7 } { 3 } ) \cdot 2$$

Evaluate

$$\frac{21}{2}=10.5$$

Solution Steps

Multiply -\frac{9}{4} times -\frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9\left(-7\right)}{4\times 3}\times 2$$

Do the multiplications in the fraction \frac{-9\left(-7\right)}{4\times 3}.

$$\frac{63}{12}\times 2$$

Reduce the fraction \frac{63}{12} to lowest terms by extracting and canceling out 3.

$$\frac{21}{4}\times 2$$

Express \frac{21}{4}\times 2 as a single fraction.

$$\frac{21\times 2}{4}$$

Multiply 21 and 2 to get 42.

$$\frac{42}{4}$$

Reduce the fraction \frac{42}{4} to lowest terms by extracting and canceling out 2.

$$\frac{21}{2}$$

Factor

$$\frac{3 \cdot 7}{2} = 10\frac{1}{2} = 10.5$$