Solve -4/9*11a/3*7b/2a

$$\frac { - 4 } { 9 } \cdot \frac { 11 a } { 3 } \cdot \frac { 7 b } { 2 a }$$

Evaluate

$$-\frac{154b}{27}$$

Solution Steps

Fraction \frac{-4}{9} can be rewritten as -\frac{4}{9} by extracting the negative sign.

$$-\frac{4}{9}\times \frac{11a}{3}\times \frac{7b}{2a}$$

Multiply -\frac{4}{9} times \frac{11a}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 11a}{9\times 3}\times \frac{7b}{2a}$$

Multiply \frac{-4\times 11a}{9\times 3} times \frac{7b}{2a} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 11a\times 7b}{9\times 3\times 2a}$$

Cancel out 2a in both numerator and denominator.

$$\frac{-2\times 7\times 11b}{3\times 9}$$

Multiply -2 and 7 to get -14.

$$\frac{-14\times 11b}{3\times 9}$$

Multiply -14 and 11 to get -154.

$$\frac{-154b}{3\times 9}$$

Multiply 3 and 9 to get 27.

$$\frac{-154b}{27}$$

Differentiate w.r.t. b

$$-\frac{154}{27} = -5\frac{19}{27} = -5.703703703703703$$