Solve 9.81(26(14)58.21)8/69

$$9.81(26(14)58.21) \frac{ 8 }{ 69 }$$

Evaluate

$$\frac{346430994}{14375}\approx 24099.547408696$$

Solution Steps

Multiply 9.81 and 26 to get 255.06.

$$255.06\times 14\times 58.21\times \frac{8}{69}$$

Multiply 255.06 and 14 to get 3570.84.

$$3570.84\times 58.21\times \frac{8}{69}$$

Multiply 3570.84 and 58.21 to get 207858.5964.

$$207858.5964\times \frac{8}{69}$$

Convert decimal number 207858.5964 to fraction \frac{2078585964}{10000}. Reduce the fraction \frac{2078585964}{10000} to lowest terms by extracting and canceling out 4.

$$\frac{519646491}{2500}\times \frac{8}{69}$$

Multiply \frac{519646491}{2500} times \frac{8}{69} by multiplying numerator times numerator and denominator times denominator.

$$\frac{519646491\times 8}{2500\times 69}$$

Do the multiplications in the fraction \frac{519646491\times 8}{2500\times 69}.

$$\frac{4157171928}{172500}$$

Reduce the fraction \frac{4157171928}{172500} to lowest terms by extracting and canceling out 12.

$$\frac{346430994}{14375}$$

Factor

$$\frac{2 \cdot 3 \cdot 7 \cdot 13 \cdot 109 \cdot 5821}{23 \cdot 5 ^ {4}} = 24099\frac{7869}{14375} = 24099.547408695653$$