Solve 108*6/17/28*300-273

$$\frac{ \frac{ 108 \cdot 6 }{ 17 } }{ 28 } \times 300-273$$

Evaluate

$$\frac{16113}{119}\approx 135.403361345$$

Solution Steps

Express \frac{\frac{108\times 6}{17}}{28} as a single fraction.

$$\frac{108\times 6}{17\times 28}\times 300-273$$

Cancel out 4 in both numerator and denominator.

$$\frac{6\times 27}{7\times 17}\times 300-273$$

Multiply 6 and 27 to get 162.

$$\frac{162}{7\times 17}\times 300-273$$

Multiply 7 and 17 to get 119.

$$\frac{162}{119}\times 300-273$$

Express \frac{162}{119}\times 300 as a single fraction.

$$\frac{162\times 300}{119}-273$$

Multiply 162 and 300 to get 48600.

$$\frac{48600}{119}-273$$

Convert 273 to fraction \frac{32487}{119}.

$$\frac{48600}{119}-\frac{32487}{119}$$

Since \frac{48600}{119} and \frac{32487}{119} have the same denominator, subtract them by subtracting their numerators.

$$\frac{48600-32487}{119}$$

Subtract 32487 from 48600 to get 16113.

$$\frac{16113}{119}$$

Factor

$$\frac{3 \cdot 41 \cdot 131}{7 \cdot 17} = 135\frac{48}{119} = 135.4033613445378$$