Solve -0.6+81/4*(-0.2)

$$- 0.6 + 8 \frac { 1 } { 4 } \times ( - 0.2 )$$

Evaluate

$$-2.25$$

Solution Steps

Multiply 8 and 4 to get 32.

$$-0.6+\frac{32+1}{4}\left(-0.2\right)$$

Add 32 and 1 to get 33.

$$-0.6+\frac{33}{4}\left(-0.2\right)$$

Convert decimal number -0.2 to fraction -\frac{2}{10}. Reduce the fraction -\frac{2}{10} to lowest terms by extracting and canceling out 2.

$$-0.6+\frac{33}{4}\left(-\frac{1}{5}\right)$$

Multiply \frac{33}{4} times -\frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$-0.6+\frac{33\left(-1\right)}{4\times 5}$$

Do the multiplications in the fraction \frac{33\left(-1\right)}{4\times 5}.

$$-0.6+\frac{-33}{20}$$

Fraction \frac{-33}{20} can be rewritten as -\frac{33}{20} by extracting the negative sign.

$$-0.6-\frac{33}{20}$$

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.

$$-\frac{3}{5}-\frac{33}{20}$$

Least common multiple of 5 and 20 is 20. Convert -\frac{3}{5} and \frac{33}{20} to fractions with denominator 20.

$$-\frac{12}{20}-\frac{33}{20}$$

Since -\frac{12}{20} and \frac{33}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-12-33}{20}$$

Subtract 33 from -12 to get -45.

$$\frac{-45}{20}$$

Reduce the fraction \frac{-45}{20} to lowest terms by extracting and canceling out 5.

$$-\frac{9}{4}$$

Factor

$$-2.25$$