Solve (5)0.125*3.7*(-4/7)*(-13/4)*(-80)

$$( 5 ) 0.125 \times 3.7 \times ( - \frac { 4 } { 7 } ) \times ( - 1 \frac { 3 } { 4 } ) \times ( - 80 )$$

Evaluate

$$-185$$

Solution Steps

Multiply 5 and 0.125 to get 0.625.

$$0.625\times 3.7\left(-\frac{4}{7}\right)\left(-\frac{1\times 4+3}{4}\right)\left(-80\right)$$

Multiply 0.625 and 3.7 to get 2.3125.

$$2.3125\left(-\frac{4}{7}\right)\left(-\frac{1\times 4+3}{4}\right)\left(-80\right)$$

Convert decimal number 2.3125 to fraction \frac{23125}{10000}. Reduce the fraction \frac{23125}{10000} to lowest terms by extracting and canceling out 625.

$$\frac{37}{16}\left(-\frac{4}{7}\right)\left(-\frac{1\times 4+3}{4}\right)\left(-80\right)$$

Multiply \frac{37}{16} times -\frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{37\left(-4\right)}{16\times 7}\left(-\frac{1\times 4+3}{4}\right)\left(-80\right)$$

Do the multiplications in the fraction \frac{37\left(-4\right)}{16\times 7}.

$$\frac{-148}{112}\left(-\frac{1\times 4+3}{4}\right)\left(-80\right)$$

Reduce the fraction \frac{-148}{112} to lowest terms by extracting and canceling out 4.

$$-\frac{37}{28}\left(-\frac{4+3}{4}\right)\left(-80\right)$$

Add 4 and 3 to get 7.

$$-\frac{37}{28}\left(-\frac{7}{4}\right)\left(-80\right)$$

Multiply -\frac{37}{28} times -\frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-37\left(-7\right)}{28\times 4}\left(-80\right)$$

Do the multiplications in the fraction \frac{-37\left(-7\right)}{28\times 4}.

$$\frac{259}{112}\left(-80\right)$$

Reduce the fraction \frac{259}{112} to lowest terms by extracting and canceling out 7.

$$\frac{37}{16}\left(-80\right)$$

Express \frac{37}{16}\left(-80\right) as a single fraction.

$$\frac{37\left(-80\right)}{16}$$

Multiply 37 and -80 to get -2960.

$$\frac{-2960}{16}$$

Divide -2960 by 16 to get -185.

$$-185$$

Factor

$$-185$$