Solve 1/13*(7,8-1,26)*43^2*9,8/41

$$\frac { 1 } { 13 } \cdot \frac { ( 7,8 - 1,26 ) \cdot 43 ^ { 2 } \cdot 9,8 } { 41 }$$

Evaluate

$$\frac{29626527}{133250}\approx 222,337913696$$

Solution Steps

Subtract 1,26 from 7,8 to get 6,54.

$$\frac{1}{13}\times \frac{6,54\times 43^{2}\times 9,8}{41}$$

Calculate 43 to the power of 2 and get 1849.

$$\frac{1}{13}\times \frac{6,54\times 1849\times 9,8}{41}$$

Multiply 6,54 and 1849 to get 12092,46.

$$\frac{1}{13}\times \frac{12092,46\times 9,8}{41}$$

Multiply 12092,46 and 9,8 to get 118506,108.

$$\frac{1}{13}\times \frac{118506,108}{41}$$

Expand \frac{118506,108}{41} by multiplying both numerator and the denominator by 1000.

$$\frac{1}{13}\times \frac{118506108}{41000}$$

Reduce the fraction \frac{118506108}{41000} to lowest terms by extracting and canceling out 4.

$$\frac{1}{13}\times \frac{29626527}{10250}$$

Multiply \frac{1}{13} times \frac{29626527}{10250} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 29626527}{13\times 10250}$$

Do the multiplications in the fraction \frac{1\times 29626527}{13\times 10250}.

$$\frac{29626527}{133250}$$

Factor

$$\frac{3 \cdot 109 \cdot 7 ^ {2} \cdot 43 ^ {2}}{2 \cdot 13 \cdot 41 \cdot 5 ^ {3}} = 222\frac{45027}{133250} = 222.33791369606004$$