Solve [1/2x(1.54)^2-1/2*(1.16)^2]div(9.80*5.4)

$$[ \frac { 1 } { 2 } x ( 1.54 ) ^ { 2 } - \frac { 1 } { 2 } \times ( 1.16 ) ^ { 2 } ] \div ( 9.80 \times 5.4 )$$

Evaluate

$$\frac{121x}{5400}-\frac{841}{66150}$$

Solution Steps

Calculate 1.54 to the power of 2 and get 2.3716.

$$\frac{\frac{1}{2}x\times 2.3716-\frac{1}{2}\times 1.16^{2}}{9.8\times 5.4}$$

Convert decimal number 2.3716 to fraction \frac{23716}{10000}. Reduce the fraction \frac{23716}{10000} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{1}{2}x\times \frac{5929}{2500}-\frac{1}{2}\times 1.16^{2}}{9.8\times 5.4}$$

Multiply \frac{1}{2} times \frac{5929}{2500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 5929}{2\times 2500}x-\frac{1}{2}\times 1.16^{2}}{9.8\times 5.4}$$

Do the multiplications in the fraction \frac{1\times 5929}{2\times 2500}.

$$\frac{\frac{5929}{5000}x-\frac{1}{2}\times 1.16^{2}}{9.8\times 5.4}$$

Calculate 1.16 to the power of 2 and get 1.3456.

$$\frac{\frac{5929}{5000}x-\frac{1}{2}\times 1.3456}{9.8\times 5.4}$$

Convert decimal number 1.3456 to fraction \frac{13456}{10000}. Reduce the fraction \frac{13456}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{\frac{5929}{5000}x-\frac{1}{2}\times \frac{841}{625}}{9.8\times 5.4}$$

Multiply \frac{1}{2} times \frac{841}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{5929}{5000}x-\frac{1\times 841}{2\times 625}}{9.8\times 5.4}$$

Do the multiplications in the fraction \frac{1\times 841}{2\times 625}.

$$\frac{\frac{5929}{5000}x-\frac{841}{1250}}{9.8\times 5.4}$$

Multiply 9.8 and 5.4 to get 52.92.

$$\frac{\frac{5929}{5000}x-\frac{841}{1250}}{52.92}$$

Expand

$$\frac{121x}{5400}-\frac{841}{66150}$$

Solution Steps

Calculate 1.54 to the power of 2 and get 2.3716.

$$\frac{\frac{1}{2}x\times 2.3716-\frac{1}{2}\times 1.16^{2}}{9.8\times 5.4}$$

Convert decimal number 2.3716 to fraction \frac{23716}{10000}. Reduce the fraction \frac{23716}{10000} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{1}{2}x\times \frac{5929}{2500}-\frac{1}{2}\times 1.16^{2}}{9.8\times 5.4}$$

Multiply \frac{1}{2} times \frac{5929}{2500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 5929}{2\times 2500}x-\frac{1}{2}\times 1.16^{2}}{9.8\times 5.4}$$

Do the multiplications in the fraction \frac{1\times 5929}{2\times 2500}.

$$\frac{\frac{5929}{5000}x-\frac{1}{2}\times 1.16^{2}}{9.8\times 5.4}$$

Calculate 1.16 to the power of 2 and get 1.3456.

$$\frac{\frac{5929}{5000}x-\frac{1}{2}\times 1.3456}{9.8\times 5.4}$$

Convert decimal number 1.3456 to fraction \frac{13456}{10000}. Reduce the fraction \frac{13456}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{\frac{5929}{5000}x-\frac{1}{2}\times \frac{841}{625}}{9.8\times 5.4}$$

Multiply \frac{1}{2} times \frac{841}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{5929}{5000}x-\frac{1\times 841}{2\times 625}}{9.8\times 5.4}$$

Do the multiplications in the fraction \frac{1\times 841}{2\times 625}.

$$\frac{\frac{5929}{5000}x-\frac{841}{1250}}{9.8\times 5.4}$$

Multiply 9.8 and 5.4 to get 52.92.

$$\frac{\frac{5929}{5000}x-\frac{841}{1250}}{52.92}$$