Solve 1*-1/9*5-1/6*16*3

$$1 \times - \frac{ 1 }{ 9 } \times 5- \frac{ 1 }{ 6 } \times 16 \times 3$$

Evaluate

$$-\frac{77}{9}\approx -8.555555556$$

Solution Steps

Multiply 1 and -\frac{1}{9} to get -\frac{1}{9}.

$$-\frac{1}{9}\times 5-\frac{1}{6}\times 16\times 3$$

Express -\frac{1}{9}\times 5 as a single fraction.

$$\frac{-5}{9}-\frac{1}{6}\times 16\times 3$$

Fraction \frac{-5}{9} can be rewritten as -\frac{5}{9} by extracting the negative sign.

$$-\frac{5}{9}-\frac{1}{6}\times 16\times 3$$

Multiply \frac{1}{6} and 16 to get \frac{16}{6}.

$$-\frac{5}{9}-\frac{16}{6}\times 3$$

Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{9}-\frac{8}{3}\times 3$$

Cancel out 3 and 3.

$$-\frac{5}{9}-8$$

Convert 8 to fraction \frac{72}{9}.

$$-\frac{5}{9}-\frac{72}{9}$$

Since -\frac{5}{9} and \frac{72}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-72}{9}$$

Subtract 72 from -5 to get -77.

$$-\frac{77}{9}$$

Factor

$$-\frac{77}{9} = -8\frac{5}{9} = -8.555555555555555$$