Solve (sqrt{1-0.19}+0.3^2-6/25):(-3)=

$$( \sqrt { 1 - 0.19 } + 0.3 ^ { 2 } - \frac { 6 } { 25 } ) : ( - 3 ) =$$

Evaluate

$$-0.25$$

Solution Steps

Subtract 0.19 from 1 to get 0.81.

$$\frac{\sqrt{0.81}+0.3^{2}-\frac{6}{25}}{-3}$$

Calculate the square root of 0.81 and get 0.9.

$$\frac{0.9+0.3^{2}-\frac{6}{25}}{-3}$$

Calculate 0.3 to the power of 2 and get 0.09.

$$\frac{0.9+0.09-\frac{6}{25}}{-3}$$

Add 0.9 and 0.09 to get 0.99.

$$\frac{0.99-\frac{6}{25}}{-3}$$

Convert decimal number 0.99 to fraction \frac{99}{100}.

$$\frac{\frac{99}{100}-\frac{6}{25}}{-3}$$

Least common multiple of 100 and 25 is 100. Convert \frac{99}{100} and \frac{6}{25} to fractions with denominator 100.

$$\frac{\frac{99}{100}-\frac{24}{100}}{-3}$$

Since \frac{99}{100} and \frac{24}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{99-24}{100}}{-3}$$

Subtract 24 from 99 to get 75.

$$\frac{\frac{75}{100}}{-3}$$

Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{3}{4}}{-3}$$

Express \frac{\frac{3}{4}}{-3} as a single fraction.

$$\frac{3}{4\left(-3\right)}$$

Multiply 4 and -3 to get -12.

$$\frac{3}{-12}$$

Reduce the fraction \frac{3}{-12} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{4}$$

Factor

$$-0.25$$