Solve 100*1*3*4*20*2a*4*9*99/20*2*4*5*25*50*100=

$$\frac { 100 \cdot 1 \cdot 3 \cdot 4 \cdot 20 \cdot 2 a \cdot 4 \cdot 9 \cdot 99 } { 20 \cdot 2 \cdot 4 \cdot 5 \cdot 25 \cdot 50 \cdot 100 } =$$

Evaluate

$$\frac{5346a}{3125}$$

Solution Steps

Cancel out 2\times 2\times 2\times 2\times 2\times 2\times 5\times 5\times 20 in both numerator and denominator.

$$\frac{2\times 3\times 9\times 99a}{5\times 25\times 25}$$

Multiply 2 and 3 to get 6.

$$\frac{6\times 9\times 99a}{5\times 25\times 25}$$

Multiply 6 and 9 to get 54.

$$\frac{54\times 99a}{5\times 25\times 25}$$

Multiply 54 and 99 to get 5346.

$$\frac{5346a}{5\times 25\times 25}$$

Multiply 5 and 25 to get 125.

$$\frac{5346a}{125\times 25}$$

Multiply 125 and 25 to get 3125.

$$\frac{5346a}{3125}$$

Differentiate w.r.t. a

$$\frac{5346}{3125} = 1\frac{2221}{3125} = 1.71072$$