Solve 0.0725((3*0.1725)+(3*0.072))/9*0.1725+20*0.0725

$$\frac { 0.0725 ( ( 3 \cdot 0.1725 ) + ( 3 \cdot 0.072 ) ) } { 9 \cdot 0.1725 + 20 \cdot 0.0725 }$$

Evaluate

$$\frac{42543}{2402000}\approx 0.01771149$$

Solution Steps

Multiply 3 and 0.1725 to get 0.5175.

$$\frac{0.0725\left(0.5175+3\times 0.072\right)}{9\times 0.1725+20\times 0.0725}$$

Multiply 3 and 0.072 to get 0.216.

$$\frac{0.0725\left(0.5175+0.216\right)}{9\times 0.1725+20\times 0.0725}$$

Add 0.5175 and 0.216 to get 0.7335.

$$\frac{0.0725\times 0.7335}{9\times 0.1725+20\times 0.0725}$$

Multiply 0.0725 and 0.7335 to get 0.05317875.

$$\frac{0.05317875}{9\times 0.1725+20\times 0.0725}$$

Multiply 9 and 0.1725 to get 1.5525.

$$\frac{0.05317875}{1.5525+20\times 0.0725}$$

Multiply 20 and 0.0725 to get 1.45.

$$\frac{0.05317875}{1.5525+1.45}$$

Add 1.5525 and 1.45 to get 3.0025.

$$\frac{0.05317875}{3.0025}$$

Expand \frac{0.05317875}{3.0025} by multiplying both numerator and the denominator by 100000000.

$$\frac{5317875}{300250000}$$

Reduce the fraction \frac{5317875}{300250000} to lowest terms by extracting and canceling out 125.

$$\frac{42543}{2402000}$$

Factor

$$\frac{29 \cdot 163 \cdot 3 ^ {2}}{1201 \cdot 2 ^ {4} \cdot 5 ^ {3}} = 0.017711490424646127$$