Solve -13/100*117/24div(-13/36)*35/12*(-4frac{5}{41})

$$- \frac { 13 } { 100 } \times 1 \frac { 17 } { 24 } \div ( - \frac { 13 } { 36 } ) \times 3 \frac { 5 } { 12 } \times ( - 4 \frac { 5 } { 41 } )$$

Evaluate

$$-\frac{6929}{800}=-8.66125$$

Solution Steps

Multiply 1 and 24 to get 24.

$$\frac{-\frac{13}{100}\times \frac{24+17}{24}}{-\frac{13}{36}}\times \frac{3\times 12+5}{12}\left(-\frac{4\times 41+5}{41}\right)$$

Add 24 and 17 to get 41.

$$\frac{-\frac{13}{100}\times \frac{41}{24}}{-\frac{13}{36}}\times \frac{3\times 12+5}{12}\left(-\frac{4\times 41+5}{41}\right)$$

Multiply -\frac{13}{100} times \frac{41}{24} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{-13\times 41}{100\times 24}}{-\frac{13}{36}}\times \frac{3\times 12+5}{12}\left(-\frac{4\times 41+5}{41}\right)$$

Do the multiplications in the fraction \frac{-13\times 41}{100\times 24}.

$$\frac{\frac{-533}{2400}}{-\frac{13}{36}}\times \frac{3\times 12+5}{12}\left(-\frac{4\times 41+5}{41}\right)$$

Fraction \frac{-533}{2400} can be rewritten as -\frac{533}{2400} by extracting the negative sign.

$$\frac{-\frac{533}{2400}}{-\frac{13}{36}}\times \frac{3\times 12+5}{12}\left(-\frac{4\times 41+5}{41}\right)$$

Divide -\frac{533}{2400} by -\frac{13}{36} by multiplying -\frac{533}{2400} by the reciprocal of -\frac{13}{36}.

$$-\frac{533}{2400}\left(-\frac{36}{13}\right)\times \frac{3\times 12+5}{12}\left(-\frac{4\times 41+5}{41}\right)$$

Multiply -\frac{533}{2400} times -\frac{36}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-533\left(-36\right)}{2400\times 13}\times \frac{3\times 12+5}{12}\left(-\frac{4\times 41+5}{41}\right)$$

Do the multiplications in the fraction \frac{-533\left(-36\right)}{2400\times 13}.

$$\frac{19188}{31200}\times \frac{3\times 12+5}{12}\left(-\frac{4\times 41+5}{41}\right)$$

Reduce the fraction \frac{19188}{31200} to lowest terms by extracting and canceling out 156.

$$\frac{123}{200}\times \frac{3\times 12+5}{12}\left(-\frac{4\times 41+5}{41}\right)$$

Multiply 3 and 12 to get 36.

$$\frac{123}{200}\times \frac{36+5}{12}\left(-\frac{4\times 41+5}{41}\right)$$

Add 36 and 5 to get 41.

$$\frac{123}{200}\times \frac{41}{12}\left(-\frac{4\times 41+5}{41}\right)$$

Multiply \frac{123}{200} times \frac{41}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{123\times 41}{200\times 12}\left(-\frac{4\times 41+5}{41}\right)$$

Do the multiplications in the fraction \frac{123\times 41}{200\times 12}.

$$\frac{5043}{2400}\left(-\frac{4\times 41+5}{41}\right)$$

Reduce the fraction \frac{5043}{2400} to lowest terms by extracting and canceling out 3.

$$\frac{1681}{800}\left(-\frac{4\times 41+5}{41}\right)$$

Multiply 4 and 41 to get 164.

$$\frac{1681}{800}\left(-\frac{164+5}{41}\right)$$

Add 164 and 5 to get 169.

$$\frac{1681}{800}\left(-\frac{169}{41}\right)$$

Multiply \frac{1681}{800} times -\frac{169}{41} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1681\left(-169\right)}{800\times 41}$$

Do the multiplications in the fraction \frac{1681\left(-169\right)}{800\times 41}.

$$\frac{-284089}{32800}$$

Reduce the fraction \frac{-284089}{32800} to lowest terms by extracting and canceling out 41.

$$-\frac{6929}{800}$$

Factor

$$-\frac{6929}{800} = -8\frac{529}{800} = -8.66125$$