Solve (-41/3)(-1/4)(-51/2)(-7/9)

$$( - 4 \frac { 1 } { 3 } ) ( - \frac { 1 } { 4 } ) ( - 5 \frac { 1 } { 2 } ) ( - \frac { 7 } { 9 } )$$

Evaluate

$$\frac{1001}{216}\approx 4.634259259$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\left(-\frac{12+1}{3}\right)\left(-\frac{1}{4}\right)\left(-\frac{5\times 2+1}{2}\right)\left(-\frac{7}{9}\right)$$

Add 12 and 1 to get 13.

$$-\frac{13}{3}\left(-\frac{1}{4}\right)\left(-\frac{5\times 2+1}{2}\right)\left(-\frac{7}{9}\right)$$

Multiply -\frac{13}{3} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-13\left(-1\right)}{3\times 4}\left(-\frac{5\times 2+1}{2}\right)\left(-\frac{7}{9}\right)$$

Do the multiplications in the fraction \frac{-13\left(-1\right)}{3\times 4}.

$$\frac{13}{12}\left(-\frac{5\times 2+1}{2}\right)\left(-\frac{7}{9}\right)$$

Multiply 5 and 2 to get 10.

$$\frac{13}{12}\left(-\frac{10+1}{2}\right)\left(-\frac{7}{9}\right)$$

Add 10 and 1 to get 11.

$$\frac{13}{12}\left(-\frac{11}{2}\right)\left(-\frac{7}{9}\right)$$

Multiply \frac{13}{12} times -\frac{11}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\left(-11\right)}{12\times 2}\left(-\frac{7}{9}\right)$$

Do the multiplications in the fraction \frac{13\left(-11\right)}{12\times 2}.

$$\frac{-143}{24}\left(-\frac{7}{9}\right)$$

Fraction \frac{-143}{24} can be rewritten as -\frac{143}{24} by extracting the negative sign.

$$-\frac{143}{24}\left(-\frac{7}{9}\right)$$

Multiply -\frac{143}{24} times -\frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-143\left(-7\right)}{24\times 9}$$

Do the multiplications in the fraction \frac{-143\left(-7\right)}{24\times 9}.

$$\frac{1001}{216}$$

Factor

$$\frac{7 \cdot 11 \cdot 13}{2 ^ {3} \cdot 3 ^ {3}} = 4\frac{137}{216} = 4.6342592592592595$$