Solve -5/6left(12-22/5-0.6right)

$$- \frac{ 5 }{ 6 } \left( 12-2 \frac{ 2 }{ 5 } -0.6 \right)$$

Evaluate

$$-7.5$$

Solution Steps

Multiply 2 and 5 to get 10.

$$-\frac{5}{6}\left(12-\frac{10+2}{5}-0.6\right)$$

Add 10 and 2 to get 12.

$$-\frac{5}{6}\left(12-\frac{12}{5}-0.6\right)$$

Convert 12 to fraction \frac{60}{5}.

$$-\frac{5}{6}\left(\frac{60}{5}-\frac{12}{5}-0.6\right)$$

Since \frac{60}{5} and \frac{12}{5} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{5}{6}\left(\frac{60-12}{5}-0.6\right)$$

Subtract 12 from 60 to get 48.

$$-\frac{5}{6}\left(\frac{48}{5}-0.6\right)$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{6}\left(\frac{48}{5}-\frac{3}{5}\right)$$

Since \frac{48}{5} and \frac{3}{5} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{5}{6}\times \frac{48-3}{5}$$

Subtract 3 from 48 to get 45.

$$-\frac{5}{6}\times \frac{45}{5}$$

Divide 45 by 5 to get 9.

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

Express -\frac{5}{6}\times 9 as a single fraction.

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

Multiply -5 and 9 to get -45.

$$\frac{-45}{6}$$

Reduce the fraction \frac{-45}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{15}{2}$$

Factor

$$-7.5$$