Solve -06(16*(-9/13)-5)-(29*(-9/13)-8)-4(4-15*(-9/13)

$$-06(16 \times (- \frac{ 9 }{ 13 } )-5)-(29 \times (- \frac{ 9 }{ 13 } )-8)-4(4-15 \times (- \frac{ 9 }{ 13 } )$$

Evaluate

$$67$$

Solution Steps

Express 16\left(-\frac{9}{13}\right) as a single fraction.

$$-6\left(\frac{16\left(-9\right)}{13}-5\right)-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Multiply 16 and -9 to get -144.

$$-6\left(\frac{-144}{13}-5\right)-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Fraction \frac{-144}{13} can be rewritten as -\frac{144}{13} by extracting the negative sign.

$$-6\left(-\frac{144}{13}-5\right)-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Convert 5 to fraction \frac{65}{13}.

$$-6\left(-\frac{144}{13}-\frac{65}{13}\right)-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Since -\frac{144}{13} and \frac{65}{13} have the same denominator, subtract them by subtracting their numerators.

$$-6\times \frac{-144-65}{13}-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Subtract 65 from -144 to get -209.

$$-6\left(-\frac{209}{13}\right)-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Express -6\left(-\frac{209}{13}\right) as a single fraction.

$$\frac{-6\left(-209\right)}{13}-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Multiply -6 and -209 to get 1254.

$$\frac{1254}{13}-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Express 29\left(-\frac{9}{13}\right) as a single fraction.

$$\frac{1254}{13}-\left(\frac{29\left(-9\right)}{13}-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Multiply 29 and -9 to get -261.

$$\frac{1254}{13}-\left(\frac{-261}{13}-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Fraction \frac{-261}{13} can be rewritten as -\frac{261}{13} by extracting the negative sign.

$$\frac{1254}{13}-\left(-\frac{261}{13}-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Convert 8 to fraction \frac{104}{13}.

$$\frac{1254}{13}-\left(-\frac{261}{13}-\frac{104}{13}\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Since -\frac{261}{13} and \frac{104}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1254}{13}-\frac{-261-104}{13}-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Subtract 104 from -261 to get -365.

$$\frac{1254}{13}-\left(-\frac{365}{13}\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

The opposite of -\frac{365}{13} is \frac{365}{13}.

$$\frac{1254}{13}+\frac{365}{13}-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Since \frac{1254}{13} and \frac{365}{13} have the same denominator, add them by adding their numerators.

$$\frac{1254+365}{13}-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Add 1254 and 365 to get 1619.

$$\frac{1619}{13}-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Express 15\left(-\frac{9}{13}\right) as a single fraction.

$$\frac{1619}{13}-4\left(4-\frac{15\left(-9\right)}{13}\right)$$

Multiply 15 and -9 to get -135.

$$\frac{1619}{13}-4\left(4-\frac{-135}{13}\right)$$

Fraction \frac{-135}{13} can be rewritten as -\frac{135}{13} by extracting the negative sign.

$$\frac{1619}{13}-4\left(4-\left(-\frac{135}{13}\right)\right)$$

The opposite of -\frac{135}{13} is \frac{135}{13}.

$$\frac{1619}{13}-4\left(4+\frac{135}{13}\right)$$

Convert 4 to fraction \frac{52}{13}.

$$\frac{1619}{13}-4\left(\frac{52}{13}+\frac{135}{13}\right)$$

Since \frac{52}{13} and \frac{135}{13} have the same denominator, add them by adding their numerators.

$$\frac{1619}{13}-4\times \frac{52+135}{13}$$

Add 52 and 135 to get 187.

$$\frac{1619}{13}-4\times \frac{187}{13}$$

Express 4\times \frac{187}{13} as a single fraction.

$$\frac{1619}{13}-\frac{4\times 187}{13}$$

Multiply 4 and 187 to get 748.

$$\frac{1619}{13}-\frac{748}{13}$$

Since \frac{1619}{13} and \frac{748}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1619-748}{13}$$

Subtract 748 from 1619 to get 871.

$$\frac{871}{13}$$

Divide 871 by 13 to get 67.

$$67$$

Factor

$$67$$