Solve (-5/12)*(-4/15)*(-1.5)*11/4-|-1|*(-2)

$$( - \frac { 5 } { 12 } ) \times ( - \frac { 4 } { 15 } ) \times ( - 1.5 ) \times 1 \frac { 1 } { 4 } - | - 1 | \times ( - 2 )$$

Evaluate

$$\frac{43}{24}\approx 1.791666667$$

Solution Steps

Multiply -\frac{5}{12} times -\frac{4}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-4\right)}{12\times 15}\left(-1.5\right)\times \frac{1\times 4+1}{4}-|-1|\left(-2\right)$$

Do the multiplications in the fraction \frac{-5\left(-4\right)}{12\times 15}.

$$\frac{20}{180}\left(-1.5\right)\times \frac{1\times 4+1}{4}-|-1|\left(-2\right)$$

Reduce the fraction \frac{20}{180} to lowest terms by extracting and canceling out 20.

$$\frac{1}{9}\left(-1.5\right)\times \frac{1\times 4+1}{4}-|-1|\left(-2\right)$$

Convert decimal number -1.5 to fraction -\frac{15}{10}. Reduce the fraction -\frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{9}\left(-\frac{3}{2}\right)\times \frac{1\times 4+1}{4}-|-1|\left(-2\right)$$

Multiply \frac{1}{9} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-3\right)}{9\times 2}\times \frac{1\times 4+1}{4}-|-1|\left(-2\right)$$

Do the multiplications in the fraction \frac{1\left(-3\right)}{9\times 2}.

$$\frac{-3}{18}\times \frac{1\times 4+1}{4}-|-1|\left(-2\right)$$

Reduce the fraction \frac{-3}{18} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{6}\times \frac{4+1}{4}-|-1|\left(-2\right)$$

Add 4 and 1 to get 5.

$$-\frac{1}{6}\times \frac{5}{4}-|-1|\left(-2\right)$$

Multiply -\frac{1}{6} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5}{6\times 4}-|-1|\left(-2\right)$$

Do the multiplications in the fraction \frac{-5}{6\times 4}.

$$\frac{-5}{24}-|-1|\left(-2\right)$$

Fraction \frac{-5}{24} can be rewritten as -\frac{5}{24} by extracting the negative sign.

$$-\frac{5}{24}-|-1|\left(-2\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -1 is 1.

$$-\frac{5}{24}-1\left(-2\right)$$

Multiply 1 and -2 to get -2.

$$-\frac{5}{24}-\left(-2\right)$$

The opposite of -2 is 2.

$$-\frac{5}{24}+2$$

Convert 2 to fraction \frac{48}{24}.

$$-\frac{5}{24}+\frac{48}{24}$$

Since -\frac{5}{24} and \frac{48}{24} have the same denominator, add them by adding their numerators.

$$\frac{-5+48}{24}$$

Add -5 and 48 to get 43.

$$\frac{43}{24}$$

Factor

$$\frac{43}{3 \cdot 2 ^ {3}} = 1\frac{19}{24} = 1.7916666666666667$$