Solve 2.18*286.15*15/0.36*303.15*85

$$\frac{ 2.18 \times 286.15 \times 15 }{ 0.36 \times 303.15 \times 85 }$$

Evaluate

$$\frac{623807}{618426}\approx 1.008701122$$

Solution Steps

Cancel out 5 in both numerator and denominator.

$$\frac{2.18\times 3\times 286.15}{0.36\times 17\times 303.15}$$

Multiply 2.18 and 3 to get 6.54.

$$\frac{6.54\times 286.15}{0.36\times 17\times 303.15}$$

Multiply 6.54 and 286.15 to get 1871.421.

$$\frac{1871.421}{0.36\times 17\times 303.15}$$

Multiply 0.36 and 17 to get 6.12.

$$\frac{1871.421}{6.12\times 303.15}$$

Multiply 6.12 and 303.15 to get 1855.278.

$$\frac{1871.421}{1855.278}$$

Expand \frac{1871.421}{1855.278} by multiplying both numerator and the denominator by 1000.

$$\frac{1871421}{1855278}$$

Reduce the fraction \frac{1871421}{1855278} to lowest terms by extracting and canceling out 3.

$$\frac{623807}{618426}$$

Factor

$$\frac{59 \cdot 97 \cdot 109}{2 \cdot 17 \cdot 43 \cdot 47 \cdot 3 ^ {2}} = 1\frac{5381}{618426} = 1.0087011218803867$$