Solve texttt{e}*13.6*(1div16-1div9)div6.63

$$\texttt{e} \times 13.6 \times (1 \div 16-1 \div 9) \div 6.63$$

Evaluate

$$-\frac{35e}{351}\approx -0.271053744$$

Solution Steps

Least common multiple of 16 and 9 is 144. Convert \frac{1}{16} and \frac{1}{9} to fractions with denominator 144.

$$\frac{e\times 13.6\left(\frac{9}{144}-\frac{16}{144}\right)}{6.63}$$

Since \frac{9}{144} and \frac{16}{144} have the same denominator, subtract them by subtracting their numerators.

$$\frac{e\times 13.6\times \frac{9-16}{144}}{6.63}$$

Subtract 16 from 9 to get -7.

$$\frac{e\times 13.6\left(-\frac{7}{144}\right)}{6.63}$$

Convert decimal number 13.6 to fraction \frac{136}{10}. Reduce the fraction \frac{136}{10} to lowest terms by extracting and canceling out 2.

$$\frac{e\times \frac{68}{5}\left(-\frac{7}{144}\right)}{6.63}$$

Multiply \frac{68}{5} times -\frac{7}{144} by multiplying numerator times numerator and denominator times denominator.

$$\frac{e\times \frac{68\left(-7\right)}{5\times 144}}{6.63}$$

Do the multiplications in the fraction \frac{68\left(-7\right)}{5\times 144}.

$$\frac{e\times \frac{-476}{720}}{6.63}$$

Reduce the fraction \frac{-476}{720} to lowest terms by extracting and canceling out 4.

$$\frac{e\left(-\frac{119}{180}\right)}{6.63}$$

Divide e\left(-\frac{119}{180}\right) by 6.63 to get e\left(-\frac{35}{351}\right).

$$e\left(-\frac{35}{351}\right)$$

Expand

$$-\frac{35e}{351}$$

Solution Steps

Least common multiple of 16 and 9 is 144. Convert \frac{1}{16} and \frac{1}{9} to fractions with denominator 144.

$$\frac{e\times 13.6\left(\frac{9}{144}-\frac{16}{144}\right)}{6.63}$$

Since \frac{9}{144} and \frac{16}{144} have the same denominator, subtract them by subtracting their numerators.

$$\frac{e\times 13.6\times \frac{9-16}{144}}{6.63}$$

Subtract 16 from 9 to get -7.

$$\frac{e\times 13.6\left(-\frac{7}{144}\right)}{6.63}$$

Convert decimal number 13.6 to fraction \frac{136}{10}. Reduce the fraction \frac{136}{10} to lowest terms by extracting and canceling out 2.

$$\frac{e\times \frac{68}{5}\left(-\frac{7}{144}\right)}{6.63}$$

Multiply \frac{68}{5} times -\frac{7}{144} by multiplying numerator times numerator and denominator times denominator.

$$\frac{e\times \frac{68\left(-7\right)}{5\times 144}}{6.63}$$

Do the multiplications in the fraction \frac{68\left(-7\right)}{5\times 144}.

$$\frac{e\times \frac{-476}{720}}{6.63}$$

Reduce the fraction \frac{-476}{720} to lowest terms by extracting and canceling out 4.

$$\frac{e\left(-\frac{119}{180}\right)}{6.63}$$

Divide e\left(-\frac{119}{180}\right) by 6.63 to get e\left(-\frac{35}{351}\right).

$$e\left(-\frac{35}{351}\right)$$