Solve 1.732*1.9*34/380*(0.0216*0.84+0.0001476*0.31)*100

$$\frac{ 1.732 \times 1.9 \times 34 }{ 380 } \times (0.0216 \times 0.84+0.0001476 \times 0.31) \times 100$$

Evaluate

$$0.535579175664$$

Solution Steps

Multiply 1.732 and 1.9 to get 3.2908.

$$\frac{3.2908\times 34}{380}\left(0.0216\times 0.84+0.0001476\times 0.31\right)\times 100$$

Multiply 3.2908 and 34 to get 111.8872.

$$\frac{111.8872}{380}\left(0.0216\times 0.84+0.0001476\times 0.31\right)\times 100$$

Expand \frac{111.8872}{380} by multiplying both numerator and the denominator by 10000.

$$\frac{1118872}{3800000}\left(0.0216\times 0.84+0.0001476\times 0.31\right)\times 100$$

Reduce the fraction \frac{1118872}{3800000} to lowest terms by extracting and canceling out 152.

$$\frac{7361}{25000}\left(0.0216\times 0.84+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0216 and 0.84 to get 0.018144.

$$\frac{7361}{25000}\left(0.018144+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0001476 and 0.31 to get 0.000045756.

$$\frac{7361}{25000}\left(0.018144+0.000045756\right)\times 100$$

Add 0.018144 and 0.000045756 to get 0.018189756.

$$\frac{7361}{25000}\times 0.018189756\times 100$$

Convert decimal number 0.018189756 to fraction \frac{18189756}{1000000000}. Reduce the fraction \frac{18189756}{1000000000} to lowest terms by extracting and canceling out 4.

$$\frac{7361}{25000}\times \frac{4547439}{250000000}\times 100$$

Multiply \frac{7361}{25000} times \frac{4547439}{250000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7361\times 4547439}{25000\times 250000000}\times 100$$

Do the multiplications in the fraction \frac{7361\times 4547439}{25000\times 250000000}.

$$\frac{33473698479}{6250000000000}\times 100$$

Express \frac{33473698479}{6250000000000}\times 100 as a single fraction.

$$\frac{33473698479\times 100}{6250000000000}$$

Multiply 33473698479 and 100 to get 3347369847900.

$$\frac{3347369847900}{6250000000000}$$

Reduce the fraction \frac{3347369847900}{6250000000000} to lowest terms by extracting and canceling out 100.

$$\frac{33473698479}{62500000000}$$

Factor

$$\frac{13 \cdot 17 \cdot 433 \cdot 38867 \cdot 3 ^ {2}}{2 ^ {8} \cdot 5 ^ {12}} = 0.535579175664$$