Solve (1.236^2-2*1.236+2)div1.236(4-1.236)

$$( { 1.236 }^{ 2 } -2 \times 1.236+2) \div 1.236(4-1.236)$$

Evaluate

$$\frac{45592871}{19312500}\approx 2.360795909$$

Solution Steps

Calculate 1.236 to the power of 2 and get 1.527696.

$$\frac{1.527696-2\times 1.236+2}{1.236}\left(4-1.236\right)$$

Multiply 2 and 1.236 to get 2.472.

$$\frac{1.527696-2.472+2}{1.236}\left(4-1.236\right)$$

Subtract 2.472 from 1.527696 to get -0.944304.

$$\frac{-0.944304+2}{1.236}\left(4-1.236\right)$$

Add -0.944304 and 2 to get 1.055696.

$$\frac{1.055696}{1.236}\left(4-1.236\right)$$

Expand \frac{1.055696}{1.236} by multiplying both numerator and the denominator by 1000000.

$$\frac{1055696}{1236000}\left(4-1.236\right)$$

Reduce the fraction \frac{1055696}{1236000} to lowest terms by extracting and canceling out 16.

$$\frac{65981}{77250}\left(4-1.236\right)$$

Subtract 1.236 from 4 to get 2.764.

$$\frac{65981}{77250}\times 2.764$$

Convert decimal number 2.764 to fraction \frac{2764}{1000}. Reduce the fraction \frac{2764}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{65981}{77250}\times \frac{691}{250}$$

Multiply \frac{65981}{77250} times \frac{691}{250} by multiplying numerator times numerator and denominator times denominator.

$$\frac{65981\times 691}{77250\times 250}$$

Do the multiplications in the fraction \frac{65981\times 691}{77250\times 250}.

$$\frac{45592871}{19312500}$$

Factor

$$\frac{691 \cdot 65981}{3 \cdot 103 \cdot 2 ^ {2} \cdot 5 ^ {6}} = 2\frac{6967871}{19312500} = 2.3607959093851134$$