Solve 2.00*1000*100/2.54*12*3*1760

$$\frac { 2.00 \times 1000 \times 100 } { 2.54 \times 12 \times 3 \times 1760 }$$

Evaluate

$$\frac{15625}{12573}\approx 1.242742384$$

Solution Steps

Cancel out 2\times 2\times 4\times 20 in both numerator and denominator.

$$\frac{25\times 25}{2.54\times 3\times 3\times 22}$$

Multiply 25 and 25 to get 625.

$$\frac{625}{2.54\times 3\times 3\times 22}$$

Multiply 2.54 and 3 to get 7.62.

$$\frac{625}{7.62\times 3\times 22}$$

Multiply 7.62 and 3 to get 22.86.

$$\frac{625}{22.86\times 22}$$

Multiply 22.86 and 22 to get 502.92.

$$\frac{625}{502.92}$$

Expand \frac{625}{502.92} by multiplying both numerator and the denominator by 100.

$$\frac{62500}{50292}$$

Reduce the fraction \frac{62500}{50292} to lowest terms by extracting and canceling out 4.

$$\frac{15625}{12573}$$

Factor

$$\frac{5 ^ {6}}{11 \cdot 127 \cdot 3 ^ {2}} = 1\frac{3052}{12573} = 1.242742384474668$$