Solve 168*(68*38-20*42)^2/88*80*58*110

$$\frac { 168 \times ( 68 \times 38 - 20 \times 42 ) ^ { 2 } } { 88 \times 80 \times 58 \times 110 }$$

Evaluate

$$\frac{998004}{87725}\approx 11.376506127$$

Solution Steps

Cancel out 8 in both numerator and denominator.

$$\frac{21\left(38\times 68-20\times 42\right)^{2}}{11\times 58\times 80\times 110}$$

Multiply 38 and 68 to get 2584.

$$\frac{21\left(2584-20\times 42\right)^{2}}{11\times 58\times 80\times 110}$$

Multiply 20 and 42 to get 840.

$$\frac{21\left(2584-840\right)^{2}}{11\times 58\times 80\times 110}$$

Subtract 840 from 2584 to get 1744.

$$\frac{21\times 1744^{2}}{11\times 58\times 80\times 110}$$

Calculate 1744 to the power of 2 and get 3041536.

$$\frac{21\times 3041536}{11\times 58\times 80\times 110}$$

Multiply 21 and 3041536 to get 63872256.

$$\frac{63872256}{11\times 58\times 80\times 110}$$

Multiply 11 and 58 to get 638.

$$\frac{63872256}{638\times 80\times 110}$$

Multiply 638 and 80 to get 51040.

$$\frac{63872256}{51040\times 110}$$

Multiply 51040 and 110 to get 5614400.

$$\frac{63872256}{5614400}$$

Reduce the fraction \frac{63872256}{5614400} to lowest terms by extracting and canceling out 64.

$$\frac{998004}{87725}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 7 \cdot 109 ^ {2}}{5 ^ {2} \cdot 11 ^ {2} \cdot 29} = 11\frac{33029}{87725} = 11.376506127101738$$