Solve -16/3*6/19+-2

$$- \frac { 16 } { 3 } * \frac { 6 } { 19 } + - 2$$

Evaluate

$$-\frac{70}{19}\approx -3.684210526$$

Solution Steps

Multiply -\frac{16}{3} times \frac{6}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-16\times 6}{3\times 19}-2$$

Do the multiplications in the fraction \frac{-16\times 6}{3\times 19}.

$$\frac{-96}{57}-2$$

Reduce the fraction \frac{-96}{57} to lowest terms by extracting and canceling out 3.

$$-\frac{32}{19}-2$$

Convert 2 to fraction \frac{38}{19}.

$$-\frac{32}{19}-\frac{38}{19}$$

Since -\frac{32}{19} and \frac{38}{19} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-32-38}{19}$$

Subtract 38 from -32 to get -70.

$$-\frac{70}{19}$$

Factor

$$-\frac{70}{19} = -3\frac{13}{19} = -3.6842105263157894$$