Solve texttt{e}*136*(1div16-1div9)div663

$$\texttt{e} \times 136 \times (1 \div 16-1 \div 9) \div 663$$

Evaluate

$$-\frac{7e}{702}\approx -0.027105374$$

Solution Steps

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

$$\frac{e\times 136\left(\frac{9}{144}-\frac{16}{144}\right)}{663}$$

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

$$\frac{e\times 136\times \frac{9-16}{144}}{663}$$

Subtract 16 from 9 to get -7.

$$\frac{e\times 136\left(-\frac{7}{144}\right)}{663}$$

Express 136\left(-\frac{7}{144}\right) as a single fraction.

$$\frac{e\times \frac{136\left(-7\right)}{144}}{663}$$

Multiply 136 and -7 to get -952.

$$\frac{e\times \frac{-952}{144}}{663}$$

Reduce the fraction \frac{-952}{144} to lowest terms by extracting and canceling out 8.

$$\frac{e\left(-\frac{119}{18}\right)}{663}$$

Divide e\left(-\frac{119}{18}\right) by 663 to get e\left(-\frac{7}{702}\right).

$$e\left(-\frac{7}{702}\right)$$

Expand

$$-\frac{7e}{702}$$

Solution Steps

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

$$\frac{e\times 136\left(\frac{9}{144}-\frac{16}{144}\right)}{663}$$

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

$$\frac{e\times 136\times \frac{9-16}{144}}{663}$$

Subtract 16 from 9 to get -7.

$$\frac{e\times 136\left(-\frac{7}{144}\right)}{663}$$

Express 136\left(-\frac{7}{144}\right) as a single fraction.

$$\frac{e\times \frac{136\left(-7\right)}{144}}{663}$$

Multiply 136 and -7 to get -952.

$$\frac{e\times \frac{-952}{144}}{663}$$

Reduce the fraction \frac{-952}{144} to lowest terms by extracting and canceling out 8.

$$\frac{e\left(-\frac{119}{18}\right)}{663}$$

Divide e\left(-\frac{119}{18}\right) by 663 to get e\left(-\frac{7}{702}\right).

$$e\left(-\frac{7}{702}\right)$$